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Finding the Fourth Proportional to 8,356.46, 11,502.68 and 7,569.14

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Solution

The fourth proportional to 8,356.46, 11,502.68 and 7,569.14 is: 10,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.46 : 11,502.68 = 7,569.14 : x
  2. Step 2: Convert to fraction form
    8,356.46/11,502.68 = 7,569.14/x
  3. Step 3: Cross multiply
    8,356.46x = 11,502.68 × 7,569.14
  4. Step 4: Simplify right side
    8,356.46x = 87,065,395.30
  5. Step 5: Solve for x
    x = 87,065,395.30/8,356.46
  6. Step 6: Final answer
    x = 10,418.93

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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.