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Finding the Fourth Proportional to 8,691.93, 13,037.85 and 6,106.41

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Solution

The fourth proportional to 8,691.93, 13,037.85 and 6,106.41 is: 9,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.93 : 13,037.85 = 6,106.41 : x
  2. Step 2: Convert to fraction form
    8,691.93/13,037.85 = 6,106.41/x
  3. Step 3: Cross multiply
    8,691.93x = 13,037.85 × 6,106.41
  4. Step 4: Simplify right side
    8,691.93x = 79,614,457.62
  5. Step 5: Solve for x
    x = 79,614,457.62/8,691.93
  6. Step 6: Final answer
    x = 9,159.58

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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.