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Finding the Fourth Proportional to 7,536.78, 10,406.15 and 5,024.81

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Solution

The fourth proportional to 7,536.78, 10,406.15 and 5,024.81 is: 6,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.78 : 10,406.15 = 5,024.81 : x
  2. Step 2: Convert to fraction form
    7,536.78/10,406.15 = 5,024.81/x
  3. Step 3: Cross multiply
    7,536.78x = 10,406.15 × 5,024.81
  4. Step 4: Simplify right side
    7,536.78x = 52,288,946.32
  5. Step 5: Solve for x
    x = 52,288,946.32/7,536.78
  6. Step 6: Final answer
    x = 6,937.84

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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.