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Finding the Fourth Proportional to 9,568.29, 14,253.75 and 9,278.13

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Solution

The fourth proportional to 9,568.29, 14,253.75 and 9,278.13 is: 13,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.29 : 14,253.75 = 9,278.13 : x
  2. Step 2: Convert to fraction form
    9,568.29/14,253.75 = 9,278.13/x
  3. Step 3: Cross multiply
    9,568.29x = 14,253.75 × 9,278.13
  4. Step 4: Simplify right side
    9,568.29x = 132,248,145.49
  5. Step 5: Solve for x
    x = 132,248,145.49/9,568.29
  6. Step 6: Final answer
    x = 13,821.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.