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Finding the Fourth Proportional to 9,674.54, 13,263.91 and 9,499.58

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Solution

The fourth proportional to 9,674.54, 13,263.91 and 9,499.58 is: 13,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.54 : 13,263.91 = 9,499.58 : x
  2. Step 2: Convert to fraction form
    9,674.54/13,263.91 = 9,499.58/x
  3. Step 3: Cross multiply
    9,674.54x = 13,263.91 × 9,499.58
  4. Step 4: Simplify right side
    9,674.54x = 126,001,574.16
  5. Step 5: Solve for x
    x = 126,001,574.16/9,674.54
  6. Step 6: Final answer
    x = 13,024.04

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.