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Finding the Fourth Proportional to 9,822.70, 14,737.70 and 4,560.31

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Solution

The fourth proportional to 9,822.70, 14,737.70 and 4,560.31 is: 6,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.70 : 14,737.70 = 4,560.31 : x
  2. Step 2: Convert to fraction form
    9,822.70/14,737.70 = 4,560.31/x
  3. Step 3: Cross multiply
    9,822.70x = 14,737.70 × 4,560.31
  4. Step 4: Simplify right side
    9,822.70x = 67,208,480.69
  5. Step 5: Solve for x
    x = 67,208,480.69/9,822.70
  6. Step 6: Final answer
    x = 6,842.16

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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.