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Finding the Fourth Proportional to 7,792.60, 10,753.70 and 4,807.24

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Solution

The fourth proportional to 7,792.60, 10,753.70 and 4,807.24 is: 6,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.60 : 10,753.70 = 4,807.24 : x
  2. Step 2: Convert to fraction form
    7,792.60/10,753.70 = 4,807.24/x
  3. Step 3: Cross multiply
    7,792.60x = 10,753.70 × 4,807.24
  4. Step 4: Simplify right side
    7,792.60x = 51,695,616.79
  5. Step 5: Solve for x
    x = 51,695,616.79/7,792.60
  6. Step 6: Final answer
    x = 6,633.94

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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.