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Finding the Fourth Proportional to 15,206.80, 22,824.60 and 9,374.80

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Solution

The fourth proportional to 15,206.80, 22,824.60 and 9,374.80 is: 14,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.80 : 22,824.60 = 9,374.80 : x
  2. Step 2: Convert to fraction form
    15,206.80/22,824.60 = 9,374.80/x
  3. Step 3: Cross multiply
    15,206.80x = 22,824.60 × 9,374.80
  4. Step 4: Simplify right side
    15,206.80x = 213,976,060.08
  5. Step 5: Solve for x
    x = 213,976,060.08/15,206.80
  6. Step 6: Final answer
    x = 14,071.08

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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.