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Finding the Fourth Proportional to 9,374.29, 12,935.97 and 5,182.29

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Solution

The fourth proportional to 9,374.29, 12,935.97 and 5,182.29 is: 7,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.29 : 12,935.97 = 5,182.29 : x
  2. Step 2: Convert to fraction form
    9,374.29/12,935.97 = 5,182.29/x
  3. Step 3: Cross multiply
    9,374.29x = 12,935.97 × 5,182.29
  4. Step 4: Simplify right side
    9,374.29x = 67,037,922.06
  5. Step 5: Solve for x
    x = 67,037,922.06/9,374.29
  6. Step 6: Final answer
    x = 7,151.25

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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.