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Finding the Fourth Proportional to 9,191.04, 13,784.28 and 3,642.48

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Solution

The fourth proportional to 9,191.04, 13,784.28 and 3,642.48 is: 5,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.04 : 13,784.28 = 3,642.48 : x
  2. Step 2: Convert to fraction form
    9,191.04/13,784.28 = 3,642.48/x
  3. Step 3: Cross multiply
    9,191.04x = 13,784.28 × 3,642.48
  4. Step 4: Simplify right side
    9,191.04x = 50,208,964.21
  5. Step 5: Solve for x
    x = 50,208,964.21/9,191.04
  6. Step 6: Final answer
    x = 5,462.82

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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.