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Finding the Fourth Proportional to 9,774.95, 13,489.11 and 5,793.70

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Solution

The fourth proportional to 9,774.95, 13,489.11 and 5,793.70 is: 7,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.95 : 13,489.11 = 5,793.70 : x
  2. Step 2: Convert to fraction form
    9,774.95/13,489.11 = 5,793.70/x
  3. Step 3: Cross multiply
    9,774.95x = 13,489.11 × 5,793.70
  4. Step 4: Simplify right side
    9,774.95x = 78,151,856.61
  5. Step 5: Solve for x
    x = 78,151,856.61/9,774.95
  6. Step 6: Final answer
    x = 7,995.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.