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Finding the Fourth Proportional to 9,902.98, 14,854.47 and 4,637.98

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Solution

The fourth proportional to 9,902.98, 14,854.47 and 4,637.98 is: 6,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.98 : 14,854.47 = 4,637.98 : x
  2. Step 2: Convert to fraction form
    9,902.98/14,854.47 = 4,637.98/x
  3. Step 3: Cross multiply
    9,902.98x = 14,854.47 × 4,637.98
  4. Step 4: Simplify right side
    9,902.98x = 68,894,734.77
  5. Step 5: Solve for x
    x = 68,894,734.77/9,902.98
  6. Step 6: Final answer
    x = 6,956.97

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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.