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Finding the Fourth Proportional to 9,767.69, 14,657.66 and 6,077.13

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Solution

The fourth proportional to 9,767.69, 14,657.66 and 6,077.13 is: 9,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.69 : 14,657.66 = 6,077.13 : x
  2. Step 2: Convert to fraction form
    9,767.69/14,657.66 = 6,077.13/x
  3. Step 3: Cross multiply
    9,767.69x = 14,657.66 × 6,077.13
  4. Step 4: Simplify right side
    9,767.69x = 89,076,474.93
  5. Step 5: Solve for x
    x = 89,076,474.93/9,767.69
  6. Step 6: Final answer
    x = 9,119.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.