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Finding the Fourth Proportional to 14,690.52, 20,258.94 and 9,659

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Solution

The fourth proportional to 14,690.52, 20,258.94 and 9,659 is: 13,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.52 : 20,258.94 = 9,659 : x
  2. Step 2: Convert to fraction form
    14,690.52/20,258.94 = 9,659/x
  3. Step 3: Cross multiply
    14,690.52x = 20,258.94 × 9,659
  4. Step 4: Simplify right side
    14,690.52x = 195,681,101.46
  5. Step 5: Solve for x
    x = 195,681,101.46/14,690.52
  6. Step 6: Final answer
    x = 13,320.23

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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.