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Finding the Fourth Proportional to 9,854.12, 13,598.88 and 7,732.20

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Solution

The fourth proportional to 9,854.12, 13,598.88 and 7,732.20 is: 10,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.12 : 13,598.88 = 7,732.20 : x
  2. Step 2: Convert to fraction form
    9,854.12/13,598.88 = 7,732.20/x
  3. Step 3: Cross multiply
    9,854.12x = 13,598.88 × 7,732.20
  4. Step 4: Simplify right side
    9,854.12x = 105,149,259.94
  5. Step 5: Solve for x
    x = 105,149,259.94/9,854.12
  6. Step 6: Final answer
    x = 10,670.59

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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.