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Finding the Fourth Proportional to 10,981.40, 16,447.80 and 9,750.20

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Solution

The fourth proportional to 10,981.40, 16,447.80 and 9,750.20 is: 14,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.40 : 16,447.80 = 9,750.20 : x
  2. Step 2: Convert to fraction form
    10,981.40/16,447.80 = 9,750.20/x
  3. Step 3: Cross multiply
    10,981.40x = 16,447.80 × 9,750.20
  4. Step 4: Simplify right side
    10,981.40x = 160,369,339.56
  5. Step 5: Solve for x
    x = 160,369,339.56/10,981.40
  6. Step 6: Final answer
    x = 14,603.72

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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.