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Finding the Fourth Proportional to 8,542.70, 12,814.05 and 4,606.10

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Solution

The fourth proportional to 8,542.70, 12,814.05 and 4,606.10 is: 6,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.70 : 12,814.05 = 4,606.10 : x
  2. Step 2: Convert to fraction form
    8,542.70/12,814.05 = 4,606.10/x
  3. Step 3: Cross multiply
    8,542.70x = 12,814.05 × 4,606.10
  4. Step 4: Simplify right side
    8,542.70x = 59,022,795.71
  5. Step 5: Solve for x
    x = 59,022,795.71/8,542.70
  6. Step 6: Final answer
    x = 6,909.15

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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.