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Finding the Fourth Proportional to 9,616.68, 13,266.99 and 6,258.42

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Solution

The fourth proportional to 9,616.68, 13,266.99 and 6,258.42 is: 8,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.68 : 13,266.99 = 6,258.42 : x
  2. Step 2: Convert to fraction form
    9,616.68/13,266.99 = 6,258.42/x
  3. Step 3: Cross multiply
    9,616.68x = 13,266.99 × 6,258.42
  4. Step 4: Simplify right side
    9,616.68x = 83,030,395.56
  5. Step 5: Solve for x
    x = 83,030,395.56/9,616.68
  6. Step 6: Final answer
    x = 8,634.00

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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.