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Finding the Fourth Proportional to 6,706.29, 9,248.62 and 4,188.63

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Solution

The fourth proportional to 6,706.29, 9,248.62 and 4,188.63 is: 5,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.29 : 9,248.62 = 4,188.63 : x
  2. Step 2: Convert to fraction form
    6,706.29/9,248.62 = 4,188.63/x
  3. Step 3: Cross multiply
    6,706.29x = 9,248.62 × 4,188.63
  4. Step 4: Simplify right side
    6,706.29x = 38,739,047.19
  5. Step 5: Solve for x
    x = 38,739,047.19/6,706.29
  6. Step 6: Final answer
    x = 5,776.52

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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.