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Finding the Fourth Proportional to 7,866.75, 10,856.13 and 4,281.69

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Solution

The fourth proportional to 7,866.75, 10,856.13 and 4,281.69 is: 5,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.75 : 10,856.13 = 4,281.69 : x
  2. Step 2: Convert to fraction form
    7,866.75/10,856.13 = 4,281.69/x
  3. Step 3: Cross multiply
    7,866.75x = 10,856.13 × 4,281.69
  4. Step 4: Simplify right side
    7,866.75x = 46,482,607.91
  5. Step 5: Solve for x
    x = 46,482,607.91/7,866.75
  6. Step 6: Final answer
    x = 5,908.74

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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.