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Finding the Fourth Proportional to 7,134.88, 9,842.80 and 4,617.80

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Solution

The fourth proportional to 7,134.88, 9,842.80 and 4,617.80 is: 6,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.88 : 9,842.80 = 4,617.80 : x
  2. Step 2: Convert to fraction form
    7,134.88/9,842.80 = 4,617.80/x
  3. Step 3: Cross multiply
    7,134.88x = 9,842.80 × 4,617.80
  4. Step 4: Simplify right side
    7,134.88x = 45,452,081.84
  5. Step 5: Solve for x
    x = 45,452,081.84/7,134.88
  6. Step 6: Final answer
    x = 6,370.41

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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.