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Finding the Fourth Proportional to 19,774.78, 29,657.53 and 5,731.06

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Solution

The fourth proportional to 19,774.78, 29,657.53 and 5,731.06 is: 8,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.78 : 29,657.53 = 5,731.06 : x
  2. Step 2: Convert to fraction form
    19,774.78/29,657.53 = 5,731.06/x
  3. Step 3: Cross multiply
    19,774.78x = 29,657.53 × 5,731.06
  4. Step 4: Simplify right side
    19,774.78x = 169,969,083.88
  5. Step 5: Solve for x
    x = 169,969,083.88/19,774.78
  6. Step 6: Final answer
    x = 8,595.25

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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.