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Finding the Fourth Proportional to 10,674.88, 15,942.24 and 9,098.08

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Solution

The fourth proportional to 10,674.88, 15,942.24 and 9,098.08 is: 13,587.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.88 : 15,942.24 = 9,098.08 : x
  2. Step 2: Convert to fraction form
    10,674.88/15,942.24 = 9,098.08/x
  3. Step 3: Cross multiply
    10,674.88x = 15,942.24 × 9,098.08
  4. Step 4: Simplify right side
    10,674.88x = 145,043,774.90
  5. Step 5: Solve for x
    x = 145,043,774.90/10,674.88
  6. Step 6: Final answer
    x = 13,587.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.