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Finding the Fourth Proportional to 7,536.64, 10,401.06 and 6,934

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Solution

The fourth proportional to 7,536.64, 10,401.06 and 6,934 is: 9,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.64 : 10,401.06 = 6,934 : x
  2. Step 2: Convert to fraction form
    7,536.64/10,401.06 = 6,934/x
  3. Step 3: Cross multiply
    7,536.64x = 10,401.06 × 6,934
  4. Step 4: Simplify right side
    7,536.64x = 72,120,950.04
  5. Step 5: Solve for x
    x = 72,120,950.04/7,536.64
  6. Step 6: Final answer
    x = 9,569.38

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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.