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Finding the Fourth Proportional to 15,278.40, 22,914.40 and 7,492.80

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Solution

The fourth proportional to 15,278.40, 22,914.40 and 7,492.80 is: 11,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278.40 : 22,914.40 = 7,492.80 : x
  2. Step 2: Convert to fraction form
    15,278.40/22,914.40 = 7,492.80/x
  3. Step 3: Cross multiply
    15,278.40x = 22,914.40 × 7,492.80
  4. Step 4: Simplify right side
    15,278.40x = 171,693,016.32
  5. Step 5: Solve for x
    x = 171,693,016.32/15,278.40
  6. Step 6: Final answer
    x = 11,237.63

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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.