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Finding the Fourth Proportional to 9,489.94, 13,096.13 and 5,298.19

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Solution

The fourth proportional to 9,489.94, 13,096.13 and 5,298.19 is: 7,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.94 : 13,096.13 = 5,298.19 : x
  2. Step 2: Convert to fraction form
    9,489.94/13,096.13 = 5,298.19/x
  3. Step 3: Cross multiply
    9,489.94x = 13,096.13 × 5,298.19
  4. Step 4: Simplify right side
    9,489.94x = 69,385,725.77
  5. Step 5: Solve for x
    x = 69,385,725.77/9,489.94
  6. Step 6: Final answer
    x = 7,311.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.