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Finding the Fourth Proportional to 11,167.59, 15,411.42 and 6,451.77

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Solution

The fourth proportional to 11,167.59, 15,411.42 and 6,451.77 is: 8,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.59 : 15,411.42 = 6,451.77 : x
  2. Step 2: Convert to fraction form
    11,167.59/15,411.42 = 6,451.77/x
  3. Step 3: Cross multiply
    11,167.59x = 15,411.42 × 6,451.77
  4. Step 4: Simplify right side
    11,167.59x = 99,430,937.21
  5. Step 5: Solve for x
    x = 99,430,937.21/11,167.59
  6. Step 6: Final answer
    x = 8,903.53

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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.