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Finding the Fourth Proportional to 9,673.60, 13,350.84 and 5,482

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Solution

The fourth proportional to 9,673.60, 13,350.84 and 5,482 is: 7,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.60 : 13,350.84 = 5,482 : x
  2. Step 2: Convert to fraction form
    9,673.60/13,350.84 = 5,482/x
  3. Step 3: Cross multiply
    9,673.60x = 13,350.84 × 5,482
  4. Step 4: Simplify right side
    9,673.60x = 73,189,304.88
  5. Step 5: Solve for x
    x = 73,189,304.88/9,673.60
  6. Step 6: Final answer
    x = 7,565.88

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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.