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Finding the Fourth Proportional to 10,948.60, 16,422.90 and 7,492.60

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Solution

The fourth proportional to 10,948.60, 16,422.90 and 7,492.60 is: 11,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.60 : 16,422.90 = 7,492.60 : x
  2. Step 2: Convert to fraction form
    10,948.60/16,422.90 = 7,492.60/x
  3. Step 3: Cross multiply
    10,948.60x = 16,422.90 × 7,492.60
  4. Step 4: Simplify right side
    10,948.60x = 123,050,220.54
  5. Step 5: Solve for x
    x = 123,050,220.54/10,948.60
  6. Step 6: Final answer
    x = 11,238.90

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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.