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Finding the Fourth Proportional to 7,866.72, 10,856.07 and 4,330.14

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Solution

The fourth proportional to 7,866.72, 10,856.07 and 4,330.14 is: 5,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.72 : 10,856.07 = 4,330.14 : x
  2. Step 2: Convert to fraction form
    7,866.72/10,856.07 = 4,330.14/x
  3. Step 3: Cross multiply
    7,866.72x = 10,856.07 × 4,330.14
  4. Step 4: Simplify right side
    7,866.72x = 47,008,302.95
  5. Step 5: Solve for x
    x = 47,008,302.95/7,866.72
  6. Step 6: Final answer
    x = 5,975.59

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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.