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Finding the Fourth Proportional to 5,695.24, 7,866.90 and 4,366.66

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Solution

The fourth proportional to 5,695.24, 7,866.90 and 4,366.66 is: 6,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.24 : 7,866.90 = 4,366.66 : x
  2. Step 2: Convert to fraction form
    5,695.24/7,866.90 = 4,366.66/x
  3. Step 3: Cross multiply
    5,695.24x = 7,866.90 × 4,366.66
  4. Step 4: Simplify right side
    5,695.24x = 34,352,077.55
  5. Step 5: Solve for x
    x = 34,352,077.55/5,695.24
  6. Step 6: Final answer
    x = 6,031.72

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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.