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Finding the Fourth Proportional to 9,913.95, 14,866.20 and 5,755.24

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Solution

The fourth proportional to 9,913.95, 14,866.20 and 5,755.24 is: 8,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.95 : 14,866.20 = 5,755.24 : x
  2. Step 2: Convert to fraction form
    9,913.95/14,866.20 = 5,755.24/x
  3. Step 3: Cross multiply
    9,913.95x = 14,866.20 × 5,755.24
  4. Step 4: Simplify right side
    9,913.95x = 85,558,548.89
  5. Step 5: Solve for x
    x = 85,558,548.89/9,913.95
  6. Step 6: Final answer
    x = 8,630.12

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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.