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Finding the Fourth Proportional to 15,323.60, 22,978.23 and 6,437.06

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Solution

The fourth proportional to 15,323.60, 22,978.23 and 6,437.06 is: 9,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.60 : 22,978.23 = 6,437.06 : x
  2. Step 2: Convert to fraction form
    15,323.60/22,978.23 = 6,437.06/x
  3. Step 3: Cross multiply
    15,323.60x = 22,978.23 × 6,437.06
  4. Step 4: Simplify right side
    15,323.60x = 147,912,245.20
  5. Step 5: Solve for x
    x = 147,912,245.20/15,323.60
  6. Step 6: Final answer
    x = 9,652.58

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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.