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Finding the Fourth Proportional to 15,972.16, 22,038.84 and 9,258.64

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Solution

The fourth proportional to 15,972.16, 22,038.84 and 9,258.64 is: 12,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.16 : 22,038.84 = 9,258.64 : x
  2. Step 2: Convert to fraction form
    15,972.16/22,038.84 = 9,258.64/x
  3. Step 3: Cross multiply
    15,972.16x = 22,038.84 × 9,258.64
  4. Step 4: Simplify right side
    15,972.16x = 204,049,685.58
  5. Step 5: Solve for x
    x = 204,049,685.58/15,972.16
  6. Step 6: Final answer
    x = 12,775.33

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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.