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Finding the Fourth Proportional to 9,229.04, 12,734.12 and 5,870.64

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Solution

The fourth proportional to 9,229.04, 12,734.12 and 5,870.64 is: 8,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.04 : 12,734.12 = 5,870.64 : x
  2. Step 2: Convert to fraction form
    9,229.04/12,734.12 = 5,870.64/x
  3. Step 3: Cross multiply
    9,229.04x = 12,734.12 × 5,870.64
  4. Step 4: Simplify right side
    9,229.04x = 74,757,434.24
  5. Step 5: Solve for x
    x = 74,757,434.24/9,229.04
  6. Step 6: Final answer
    x = 8,100.24

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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.