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Finding the Fourth Proportional to 11,854.69, 16,358.92 and 6,549.38

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Solution

The fourth proportional to 11,854.69, 16,358.92 and 6,549.38 is: 9,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.69 : 16,358.92 = 6,549.38 : x
  2. Step 2: Convert to fraction form
    11,854.69/16,358.92 = 6,549.38/x
  3. Step 3: Cross multiply
    11,854.69x = 16,358.92 × 6,549.38
  4. Step 4: Simplify right side
    11,854.69x = 107,140,783.47
  5. Step 5: Solve for x
    x = 107,140,783.47/11,854.69
  6. Step 6: Final answer
    x = 9,037.84

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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.