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Finding the Fourth Proportional to 15,317.96, 22,978.20 and 6,552.96

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Solution

The fourth proportional to 15,317.96, 22,978.20 and 6,552.96 is: 9,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,317.96 : 22,978.20 = 6,552.96 : x
  2. Step 2: Convert to fraction form
    15,317.96/22,978.20 = 6,552.96/x
  3. Step 3: Cross multiply
    15,317.96x = 22,978.20 × 6,552.96
  4. Step 4: Simplify right side
    15,317.96x = 150,575,225.47
  5. Step 5: Solve for x
    x = 150,575,225.47/15,317.96
  6. Step 6: Final answer
    x = 9,829.98

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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.