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Finding the Fourth Proportional to 15,164.40, 22,746.60 and 7,766.40

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Solution

The fourth proportional to 15,164.40, 22,746.60 and 7,766.40 is: 11,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.40 : 22,746.60 = 7,766.40 : x
  2. Step 2: Convert to fraction form
    15,164.40/22,746.60 = 7,766.40/x
  3. Step 3: Cross multiply
    15,164.40x = 22,746.60 × 7,766.40
  4. Step 4: Simplify right side
    15,164.40x = 176,659,194.24
  5. Step 5: Solve for x
    x = 176,659,194.24/15,164.40
  6. Step 6: Final answer
    x = 11,649.60

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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.