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Finding the Fourth Proportional to 15,193.76, 22,799.16 and 6,435.23

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Solution

The fourth proportional to 15,193.76, 22,799.16 and 6,435.23 is: 9,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.76 : 22,799.16 = 6,435.23 : x
  2. Step 2: Convert to fraction form
    15,193.76/22,799.16 = 6,435.23/x
  3. Step 3: Cross multiply
    15,193.76x = 22,799.16 × 6,435.23
  4. Step 4: Simplify right side
    15,193.76x = 146,717,724.41
  5. Step 5: Solve for x
    x = 146,717,724.41/15,193.76
  6. Step 6: Final answer
    x = 9,656.45

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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.