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Finding the Fourth Proportional to 11,595.76, 16,001.76 and 6,877.28

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Solution

The fourth proportional to 11,595.76, 16,001.76 and 6,877.28 is: 9,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.76 : 16,001.76 = 6,877.28 : x
  2. Step 2: Convert to fraction form
    11,595.76/16,001.76 = 6,877.28/x
  3. Step 3: Cross multiply
    11,595.76x = 16,001.76 × 6,877.28
  4. Step 4: Simplify right side
    11,595.76x = 110,048,584.01
  5. Step 5: Solve for x
    x = 110,048,584.01/11,595.76
  6. Step 6: Final answer
    x = 9,490.42

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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.