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Finding the Fourth Proportional to 15,954.96, 22,017 and 8,880.12

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Solution

The fourth proportional to 15,954.96, 22,017 and 8,880.12 is: 12,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.96 : 22,017 = 8,880.12 : x
  2. Step 2: Convert to fraction form
    15,954.96/22,017 = 8,880.12/x
  3. Step 3: Cross multiply
    15,954.96x = 22,017 × 8,880.12
  4. Step 4: Simplify right side
    15,954.96x = 195,513,602.04
  5. Step 5: Solve for x
    x = 195,513,602.04/15,954.96
  6. Step 6: Final answer
    x = 12,254.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.