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Finding the Fourth Proportional to 9,596.64, 13,243.13 and 5,347.69

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Solution

The fourth proportional to 9,596.64, 13,243.13 and 5,347.69 is: 7,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.64 : 13,243.13 = 5,347.69 : x
  2. Step 2: Convert to fraction form
    9,596.64/13,243.13 = 5,347.69/x
  3. Step 3: Cross multiply
    9,596.64x = 13,243.13 × 5,347.69
  4. Step 4: Simplify right side
    9,596.64x = 70,820,114.08
  5. Step 5: Solve for x
    x = 70,820,114.08/9,596.64
  6. Step 6: Final answer
    x = 7,379.68

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Half scale
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Double scale
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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.