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Finding the Fourth Proportional to 7,262.05, 10,024.95 and 5,582.87

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Solution

The fourth proportional to 7,262.05, 10,024.95 and 5,582.87 is: 7,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.05 : 10,024.95 = 5,582.87 : x
  2. Step 2: Convert to fraction form
    7,262.05/10,024.95 = 5,582.87/x
  3. Step 3: Cross multiply
    7,262.05x = 10,024.95 × 5,582.87
  4. Step 4: Simplify right side
    7,262.05x = 55,967,992.61
  5. Step 5: Solve for x
    x = 55,967,992.61/7,262.05
  6. Step 6: Final answer
    x = 7,706.91

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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.