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Finding the Fourth Proportional to 9,569.06, 13,217.76 and 7,358.12

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Solution

The fourth proportional to 9,569.06, 13,217.76 and 7,358.12 is: 10,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.06 : 13,217.76 = 7,358.12 : x
  2. Step 2: Convert to fraction form
    9,569.06/13,217.76 = 7,358.12/x
  3. Step 3: Cross multiply
    9,569.06x = 13,217.76 × 7,358.12
  4. Step 4: Simplify right side
    9,569.06x = 97,257,864.21
  5. Step 5: Solve for x
    x = 97,257,864.21/9,569.06
  6. Step 6: Final answer
    x = 10,163.78

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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.