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Finding the Fourth Proportional to 5,301.47, 7,952.12 and 1,603.77

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Solution

The fourth proportional to 5,301.47, 7,952.12 and 1,603.77 is: 2,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.47 : 7,952.12 = 1,603.77 : x
  2. Step 2: Convert to fraction form
    5,301.47/7,952.12 = 1,603.77/x
  3. Step 3: Cross multiply
    5,301.47x = 7,952.12 × 1,603.77
  4. Step 4: Simplify right side
    5,301.47x = 12,753,363.47
  5. Step 5: Solve for x
    x = 12,753,363.47/5,301.47
  6. Step 6: Final answer
    x = 2,405.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.