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Finding the Fourth Proportional to 9,597.58, 14,363.85 and 5,902.15

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Solution

The fourth proportional to 9,597.58, 14,363.85 and 5,902.15 is: 8,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.58 : 14,363.85 = 5,902.15 : x
  2. Step 2: Convert to fraction form
    9,597.58/14,363.85 = 5,902.15/x
  3. Step 3: Cross multiply
    9,597.58x = 14,363.85 × 5,902.15
  4. Step 4: Simplify right side
    9,597.58x = 84,777,597.28
  5. Step 5: Solve for x
    x = 84,777,597.28/9,597.58
  6. Step 6: Final answer
    x = 8,833.23

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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.