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Finding the Fourth Proportional to 10,148.90, 14,007.74 and 6,169.16

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Solution

The fourth proportional to 10,148.90, 14,007.74 and 6,169.16 is: 8,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.90 : 14,007.74 = 6,169.16 : x
  2. Step 2: Convert to fraction form
    10,148.90/14,007.74 = 6,169.16/x
  3. Step 3: Cross multiply
    10,148.90x = 14,007.74 × 6,169.16
  4. Step 4: Simplify right side
    10,148.90x = 86,415,993.47
  5. Step 5: Solve for x
    x = 86,415,993.47/10,148.90
  6. Step 6: Final answer
    x = 8,514.82

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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.