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Finding the Fourth Proportional to 11,853.63, 16,357.41 and 6,547.42

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Solution

The fourth proportional to 11,853.63, 16,357.41 and 6,547.42 is: 9,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.63 : 16,357.41 = 6,547.42 : x
  2. Step 2: Convert to fraction form
    11,853.63/16,357.41 = 6,547.42/x
  3. Step 3: Cross multiply
    11,853.63x = 16,357.41 × 6,547.42
  4. Step 4: Simplify right side
    11,853.63x = 107,098,833.38
  5. Step 5: Solve for x
    x = 107,098,833.38/11,853.63
  6. Step 6: Final answer
    x = 9,035.11

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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.