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Finding the Fourth Proportional to 15,319.68, 22,962.29 and 7,802.15

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Solution

The fourth proportional to 15,319.68, 22,962.29 and 7,802.15 is: 11,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.68 : 22,962.29 = 7,802.15 : x
  2. Step 2: Convert to fraction form
    15,319.68/22,962.29 = 7,802.15/x
  3. Step 3: Cross multiply
    15,319.68x = 22,962.29 × 7,802.15
  4. Step 4: Simplify right side
    15,319.68x = 179,155,230.92
  5. Step 5: Solve for x
    x = 179,155,230.92/15,319.68
  6. Step 6: Final answer
    x = 11,694.45

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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.