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Finding the Fourth Proportional to 9,822.71, 14,737.71 and 4,560.26

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Solution

The fourth proportional to 9,822.71, 14,737.71 and 4,560.26 is: 6,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.71 : 14,737.71 = 4,560.26 : x
  2. Step 2: Convert to fraction form
    9,822.71/14,737.71 = 4,560.26/x
  3. Step 3: Cross multiply
    9,822.71x = 14,737.71 × 4,560.26
  4. Step 4: Simplify right side
    9,822.71x = 67,207,715.72
  5. Step 5: Solve for x
    x = 67,207,715.72/9,822.71
  6. Step 6: Final answer
    x = 6,842.08

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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.