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Finding the Fourth Proportional to 11,423.71, 15,765.06 and 6,707.08

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Solution

The fourth proportional to 11,423.71, 15,765.06 and 6,707.08 is: 9,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.71 : 15,765.06 = 6,707.08 : x
  2. Step 2: Convert to fraction form
    11,423.71/15,765.06 = 6,707.08/x
  3. Step 3: Cross multiply
    11,423.71x = 15,765.06 × 6,707.08
  4. Step 4: Simplify right side
    11,423.71x = 105,737,518.62
  5. Step 5: Solve for x
    x = 105,737,518.62/11,423.71
  6. Step 6: Final answer
    x = 9,255.97

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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.