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Finding the Fourth Proportional to 11,242.77, 15,514.94 and 6,206.99

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Solution

The fourth proportional to 11,242.77, 15,514.94 and 6,206.99 is: 8,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.77 : 15,514.94 = 6,206.99 : x
  2. Step 2: Convert to fraction form
    11,242.77/15,514.94 = 6,206.99/x
  3. Step 3: Cross multiply
    11,242.77x = 15,514.94 × 6,206.99
  4. Step 4: Simplify right side
    11,242.77x = 96,301,077.43
  5. Step 5: Solve for x
    x = 96,301,077.43/11,242.77
  6. Step 6: Final answer
    x = 8,565.60

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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.