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Finding the Fourth Proportional to 14,367.64, 19,829.01 and 8,082.04

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Solution

The fourth proportional to 14,367.64, 19,829.01 and 8,082.04 is: 11,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.64 : 19,829.01 = 8,082.04 : x
  2. Step 2: Convert to fraction form
    14,367.64/19,829.01 = 8,082.04/x
  3. Step 3: Cross multiply
    14,367.64x = 19,829.01 × 8,082.04
  4. Step 4: Simplify right side
    14,367.64x = 160,258,851.98
  5. Step 5: Solve for x
    x = 160,258,851.98/14,367.64
  6. Step 6: Final answer
    x = 11,154.15

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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.