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Finding the Fourth Proportional to 4,275.96, 6,410.06 and 1,501.14

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Solution

The fourth proportional to 4,275.96, 6,410.06 and 1,501.14 is: 2,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.96 : 6,410.06 = 1,501.14 : x
  2. Step 2: Convert to fraction form
    4,275.96/6,410.06 = 1,501.14/x
  3. Step 3: Cross multiply
    4,275.96x = 6,410.06 × 1,501.14
  4. Step 4: Simplify right side
    4,275.96x = 9,622,397.47
  5. Step 5: Solve for x
    x = 9,622,397.47/4,275.96
  6. Step 6: Final answer
    x = 2,250.35

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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.