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Finding the Fourth Proportional to 6,457.59, 8,909.19 and 3,663.09

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Solution

The fourth proportional to 6,457.59, 8,909.19 and 3,663.09 is: 5,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.59 : 8,909.19 = 3,663.09 : x
  2. Step 2: Convert to fraction form
    6,457.59/8,909.19 = 3,663.09/x
  3. Step 3: Cross multiply
    6,457.59x = 8,909.19 × 3,663.09
  4. Step 4: Simplify right side
    6,457.59x = 32,635,164.80
  5. Step 5: Solve for x
    x = 32,635,164.80/6,457.59
  6. Step 6: Final answer
    x = 5,053.77

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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.