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Finding the Fourth Proportional to 12,640.16, 18,973.60 and 7,098.24

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Solution

The fourth proportional to 12,640.16, 18,973.60 and 7,098.24 is: 10,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.16 : 18,973.60 = 7,098.24 : x
  2. Step 2: Convert to fraction form
    12,640.16/18,973.60 = 7,098.24/x
  3. Step 3: Cross multiply
    12,640.16x = 18,973.60 × 7,098.24
  4. Step 4: Simplify right side
    12,640.16x = 134,679,166.46
  5. Step 5: Solve for x
    x = 134,679,166.46/12,640.16
  6. Step 6: Final answer
    x = 10,654.86

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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.