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Finding the Fourth Proportional to 7,536.52, 10,401.62 and 7,204.28

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Solution

The fourth proportional to 7,536.52, 10,401.62 and 7,204.28 is: 9,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.52 : 10,401.62 = 7,204.28 : x
  2. Step 2: Convert to fraction form
    7,536.52/10,401.62 = 7,204.28/x
  3. Step 3: Cross multiply
    7,536.52x = 10,401.62 × 7,204.28
  4. Step 4: Simplify right side
    7,536.52x = 74,936,182.93
  5. Step 5: Solve for x
    x = 74,936,182.93/7,536.52
  6. Step 6: Final answer
    x = 9,943.07

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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.