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Finding the Fourth Proportional to 15,809.48, 23,709.18 and 6,449.48

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Solution

The fourth proportional to 15,809.48, 23,709.18 and 6,449.48 is: 9,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.48 : 23,709.18 = 6,449.48 : x
  2. Step 2: Convert to fraction form
    15,809.48/23,709.18 = 6,449.48/x
  3. Step 3: Cross multiply
    15,809.48x = 23,709.18 × 6,449.48
  4. Step 4: Simplify right side
    15,809.48x = 152,911,882.23
  5. Step 5: Solve for x
    x = 152,911,882.23/15,809.48
  6. Step 6: Final answer
    x = 9,672.16

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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.