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Finding the Fourth Proportional to 8,437.60, 11,643.89 and 4,711.60

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Solution

The fourth proportional to 8,437.60, 11,643.89 and 4,711.60 is: 6,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.60 : 11,643.89 = 4,711.60 : x
  2. Step 2: Convert to fraction form
    8,437.60/11,643.89 = 4,711.60/x
  3. Step 3: Cross multiply
    8,437.60x = 11,643.89 × 4,711.60
  4. Step 4: Simplify right side
    8,437.60x = 54,861,299.46
  5. Step 5: Solve for x
    x = 54,861,299.46/8,437.60
  6. Step 6: Final answer
    x = 6,502.00

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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.