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Finding the Fourth Proportional to 11,377.66, 15,700.92 and 6,341.86

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Solution

The fourth proportional to 11,377.66, 15,700.92 and 6,341.86 is: 8,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.66 : 15,700.92 = 6,341.86 : x
  2. Step 2: Convert to fraction form
    11,377.66/15,700.92 = 6,341.86/x
  3. Step 3: Cross multiply
    11,377.66x = 15,700.92 × 6,341.86
  4. Step 4: Simplify right side
    11,377.66x = 99,573,036.51
  5. Step 5: Solve for x
    x = 99,573,036.51/11,377.66
  6. Step 6: Final answer
    x = 8,751.63

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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.