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Finding the Fourth Proportional to 6,237.48, 9,327.80 and 4,657.31

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Solution

The fourth proportional to 6,237.48, 9,327.80 and 4,657.31 is: 6,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.48 : 9,327.80 = 4,657.31 : x
  2. Step 2: Convert to fraction form
    6,237.48/9,327.80 = 4,657.31/x
  3. Step 3: Cross multiply
    6,237.48x = 9,327.80 × 4,657.31
  4. Step 4: Simplify right side
    6,237.48x = 43,442,409.58
  5. Step 5: Solve for x
    x = 43,442,409.58/6,237.48
  6. Step 6: Final answer
    x = 6,964.74

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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.