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Finding the Fourth Proportional to 6,506.85, 8,973.30 and 4,270.66

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Solution

The fourth proportional to 6,506.85, 8,973.30 and 4,270.66 is: 5,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.85 : 8,973.30 = 4,270.66 : x
  2. Step 2: Convert to fraction form
    6,506.85/8,973.30 = 4,270.66/x
  3. Step 3: Cross multiply
    6,506.85x = 8,973.30 × 4,270.66
  4. Step 4: Simplify right side
    6,506.85x = 38,321,913.38
  5. Step 5: Solve for x
    x = 38,321,913.38/6,506.85
  6. Step 6: Final answer
    x = 5,889.48

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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.