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Finding the Fourth Proportional to 9,298.91, 13,952.46 and 3,763.08

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Solution

The fourth proportional to 9,298.91, 13,952.46 and 3,763.08 is: 5,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.91 : 13,952.46 = 3,763.08 : x
  2. Step 2: Convert to fraction form
    9,298.91/13,952.46 = 3,763.08/x
  3. Step 3: Cross multiply
    9,298.91x = 13,952.46 × 3,763.08
  4. Step 4: Simplify right side
    9,298.91x = 52,504,223.18
  5. Step 5: Solve for x
    x = 52,504,223.18/9,298.91
  6. Step 6: Final answer
    x = 5,646.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.