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Finding the Fourth Proportional to 10,735.61, 14,798.02 and 8,463.24

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Solution

The fourth proportional to 10,735.61, 14,798.02 and 8,463.24 is: 11,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.61 : 14,798.02 = 8,463.24 : x
  2. Step 2: Convert to fraction form
    10,735.61/14,798.02 = 8,463.24/x
  3. Step 3: Cross multiply
    10,735.61x = 14,798.02 × 8,463.24
  4. Step 4: Simplify right side
    10,735.61x = 125,239,194.78
  5. Step 5: Solve for x
    x = 125,239,194.78/10,735.61
  6. Step 6: Final answer
    x = 11,665.77

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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.