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Finding the Fourth Proportional to 9,902.88, 14,853.96 and 2,977.20

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Solution

The fourth proportional to 9,902.88, 14,853.96 and 2,977.20 is: 4,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.88 : 14,853.96 = 2,977.20 : x
  2. Step 2: Convert to fraction form
    9,902.88/14,853.96 = 2,977.20/x
  3. Step 3: Cross multiply
    9,902.88x = 14,853.96 × 2,977.20
  4. Step 4: Simplify right side
    9,902.88x = 44,223,209.71
  5. Step 5: Solve for x
    x = 44,223,209.71/9,902.88
  6. Step 6: Final answer
    x = 4,465.69

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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.