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Finding the Fourth Proportional to 34,902.32, 52,352.80 and 9,942.53

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Solution

The fourth proportional to 34,902.32, 52,352.80 and 9,942.53 is: 14,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,902.32 : 52,352.80 = 9,942.53 : x
  2. Step 2: Convert to fraction form
    34,902.32/52,352.80 = 9,942.53/x
  3. Step 3: Cross multiply
    34,902.32x = 52,352.80 × 9,942.53
  4. Step 4: Simplify right side
    34,902.32x = 520,519,022.82
  5. Step 5: Solve for x
    x = 520,519,022.82/34,902.32
  6. Step 6: Final answer
    x = 14,913.60

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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.