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Finding the Fourth Proportional to 7,874.61, 10,856.07 and 5,632.58

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Solution

The fourth proportional to 7,874.61, 10,856.07 and 5,632.58 is: 7,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.61 : 10,856.07 = 5,632.58 : x
  2. Step 2: Convert to fraction form
    7,874.61/10,856.07 = 5,632.58/x
  3. Step 3: Cross multiply
    7,874.61x = 10,856.07 × 5,632.58
  4. Step 4: Simplify right side
    7,874.61x = 61,147,628.48
  5. Step 5: Solve for x
    x = 61,147,628.48/7,874.61
  6. Step 6: Final answer
    x = 7,765.16

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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.