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Finding the Fourth Proportional to 9,511.70, 13,098.93 and 6,854.90

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Solution

The fourth proportional to 9,511.70, 13,098.93 and 6,854.90 is: 9,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.70 : 13,098.93 = 6,854.90 : x
  2. Step 2: Convert to fraction form
    9,511.70/13,098.93 = 6,854.90/x
  3. Step 3: Cross multiply
    9,511.70x = 13,098.93 × 6,854.90
  4. Step 4: Simplify right side
    9,511.70x = 89,791,855.26
  5. Step 5: Solve for x
    x = 89,791,855.26/9,511.70
  6. Step 6: Final answer
    x = 9,440.15

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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.