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Finding the Fourth Proportional to 11,114.17, 15,337.95 and 6,078.09

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Solution

The fourth proportional to 11,114.17, 15,337.95 and 6,078.09 is: 8,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.17 : 15,337.95 = 6,078.09 : x
  2. Step 2: Convert to fraction form
    11,114.17/15,337.95 = 6,078.09/x
  3. Step 3: Cross multiply
    11,114.17x = 15,337.95 × 6,078.09
  4. Step 4: Simplify right side
    11,114.17x = 93,225,440.52
  5. Step 5: Solve for x
    x = 93,225,440.52/11,114.17
  6. Step 6: Final answer
    x = 8,387.98

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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.