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Finding the Fourth Proportional to 9,757.61, 14,624.68 and 5,600.49

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Solution

The fourth proportional to 9,757.61, 14,624.68 and 5,600.49 is: 8,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.61 : 14,624.68 = 5,600.49 : x
  2. Step 2: Convert to fraction form
    9,757.61/14,624.68 = 5,600.49/x
  3. Step 3: Cross multiply
    9,757.61x = 14,624.68 × 5,600.49
  4. Step 4: Simplify right side
    9,757.61x = 81,905,300.97
  5. Step 5: Solve for x
    x = 81,905,300.97/9,757.61
  6. Step 6: Final answer
    x = 8,394.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.