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Finding the Fourth Proportional to 6,507.87, 8,971.52 and 4,641.63

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Solution

The fourth proportional to 6,507.87, 8,971.52 and 4,641.63 is: 6,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.87 : 8,971.52 = 4,641.63 : x
  2. Step 2: Convert to fraction form
    6,507.87/8,971.52 = 4,641.63/x
  3. Step 3: Cross multiply
    6,507.87x = 8,971.52 × 4,641.63
  4. Step 4: Simplify right side
    6,507.87x = 41,642,476.38
  5. Step 5: Solve for x
    x = 41,642,476.38/6,507.87
  6. Step 6: Final answer
    x = 6,398.79

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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.