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Finding the Fourth Proportional to 12,159.74, 16,783.05 and 7,680.65

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Solution

The fourth proportional to 12,159.74, 16,783.05 and 7,680.65 is: 10,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.74 : 16,783.05 = 7,680.65 : x
  2. Step 2: Convert to fraction form
    12,159.74/16,783.05 = 7,680.65/x
  3. Step 3: Cross multiply
    12,159.74x = 16,783.05 × 7,680.65
  4. Step 4: Simplify right side
    12,159.74x = 128,904,649.07
  5. Step 5: Solve for x
    x = 128,904,649.07/12,159.74
  6. Step 6: Final answer
    x = 10,600.94

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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.