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Finding the Fourth Proportional to 9,775.16, 13,489.98 and 5,797.16

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Solution

The fourth proportional to 9,775.16, 13,489.98 and 5,797.16 is: 8,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.16 : 13,489.98 = 5,797.16 : x
  2. Step 2: Convert to fraction form
    9,775.16/13,489.98 = 5,797.16/x
  3. Step 3: Cross multiply
    9,775.16x = 13,489.98 × 5,797.16
  4. Step 4: Simplify right side
    9,775.16x = 78,203,572.46
  5. Step 5: Solve for x
    x = 78,203,572.46/9,775.16
  6. Step 6: Final answer
    x = 8,000.23

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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.