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Finding the Fourth Proportional to 9,701.80, 13,394.82 and 7,459.54

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Solution

The fourth proportional to 9,701.80, 13,394.82 and 7,459.54 is: 10,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.80 : 13,394.82 = 7,459.54 : x
  2. Step 2: Convert to fraction form
    9,701.80/13,394.82 = 7,459.54/x
  3. Step 3: Cross multiply
    9,701.80x = 13,394.82 × 7,459.54
  4. Step 4: Simplify right side
    9,701.80x = 99,919,195.58
  5. Step 5: Solve for x
    x = 99,919,195.58/9,701.80
  6. Step 6: Final answer
    x = 10,299.04

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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.