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Finding the Fourth Proportional to 15,778.64, 21,773.54 and 8,705.12

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Solution

The fourth proportional to 15,778.64, 21,773.54 and 8,705.12 is: 12,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.64 : 21,773.54 = 8,705.12 : x
  2. Step 2: Convert to fraction form
    15,778.64/21,773.54 = 8,705.12/x
  3. Step 3: Cross multiply
    15,778.64x = 21,773.54 × 8,705.12
  4. Step 4: Simplify right side
    15,778.64x = 189,541,191.42
  5. Step 5: Solve for x
    x = 189,541,191.42/15,778.64
  6. Step 6: Final answer
    x = 12,012.52

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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.