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Finding the Fourth Proportional to 9,523.88, 13,142.95 and 5,332.22

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Solution

The fourth proportional to 9,523.88, 13,142.95 and 5,332.22 is: 7,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.88 : 13,142.95 = 5,332.22 : x
  2. Step 2: Convert to fraction form
    9,523.88/13,142.95 = 5,332.22/x
  3. Step 3: Cross multiply
    9,523.88x = 13,142.95 × 5,332.22
  4. Step 4: Simplify right side
    9,523.88x = 70,081,100.85
  5. Step 5: Solve for x
    x = 70,081,100.85/9,523.88
  6. Step 6: Final answer
    x = 7,358.46

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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.