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Finding the Fourth Proportional to 6,507.52, 8,971.90 and 4,148.80

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Solution

The fourth proportional to 6,507.52, 8,971.90 and 4,148.80 is: 5,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.52 : 8,971.90 = 4,148.80 : x
  2. Step 2: Convert to fraction form
    6,507.52/8,971.90 = 4,148.80/x
  3. Step 3: Cross multiply
    6,507.52x = 8,971.90 × 4,148.80
  4. Step 4: Simplify right side
    6,507.52x = 37,222,618.72
  5. Step 5: Solve for x
    x = 37,222,618.72/6,507.52
  6. Step 6: Final answer
    x = 5,719.94

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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.