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Finding the Fourth Proportional to 6,437.04, 9,645.48 and 5,138.16

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Solution

The fourth proportional to 6,437.04, 9,645.48 and 5,138.16 is: 7,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.04 : 9,645.48 = 5,138.16 : x
  2. Step 2: Convert to fraction form
    6,437.04/9,645.48 = 5,138.16/x
  3. Step 3: Cross multiply
    6,437.04x = 9,645.48 × 5,138.16
  4. Step 4: Simplify right side
    6,437.04x = 49,560,019.52
  5. Step 5: Solve for x
    x = 49,560,019.52/6,437.04
  6. Step 6: Final answer
    x = 7,699.19

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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.