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Finding the Fourth Proportional to 14,545.84, 20,073 and 8,258.08

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Solution

The fourth proportional to 14,545.84, 20,073 and 8,258.08 is: 11,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.84 : 20,073 = 8,258.08 : x
  2. Step 2: Convert to fraction form
    14,545.84/20,073 = 8,258.08/x
  3. Step 3: Cross multiply
    14,545.84x = 20,073 × 8,258.08
  4. Step 4: Simplify right side
    14,545.84x = 165,764,439.84
  5. Step 5: Solve for x
    x = 165,764,439.84/14,545.84
  6. Step 6: Final answer
    x = 11,396.00

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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.