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Finding the Fourth Proportional to 11,038.74, 15,236.74 and 6,326.16

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Solution

The fourth proportional to 11,038.74, 15,236.74 and 6,326.16 is: 8,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.74 : 15,236.74 = 6,326.16 : x
  2. Step 2: Convert to fraction form
    11,038.74/15,236.74 = 6,326.16/x
  3. Step 3: Cross multiply
    11,038.74x = 15,236.74 × 6,326.16
  4. Step 4: Simplify right side
    11,038.74x = 96,389,978.93
  5. Step 5: Solve for x
    x = 96,389,978.93/11,038.74
  6. Step 6: Final answer
    x = 8,731.98

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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.