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Finding the Fourth Proportional to 9,342.56, 12,877.80 and 6,357.44

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Solution

The fourth proportional to 9,342.56, 12,877.80 and 6,357.44 is: 8,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.56 : 12,877.80 = 6,357.44 : x
  2. Step 2: Convert to fraction form
    9,342.56/12,877.80 = 6,357.44/x
  3. Step 3: Cross multiply
    9,342.56x = 12,877.80 × 6,357.44
  4. Step 4: Simplify right side
    9,342.56x = 81,869,840.83
  5. Step 5: Solve for x
    x = 81,869,840.83/9,342.56
  6. Step 6: Final answer
    x = 8,763.11

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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.