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Finding the Fourth Proportional to 7,001.68, 9,661.44 and 4,017.12

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Solution

The fourth proportional to 7,001.68, 9,661.44 and 4,017.12 is: 5,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.68 : 9,661.44 = 4,017.12 : x
  2. Step 2: Convert to fraction form
    7,001.68/9,661.44 = 4,017.12/x
  3. Step 3: Cross multiply
    7,001.68x = 9,661.44 × 4,017.12
  4. Step 4: Simplify right side
    7,001.68x = 38,811,163.85
  5. Step 5: Solve for x
    x = 38,811,163.85/7,001.68
  6. Step 6: Final answer
    x = 5,543.12

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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.