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Finding the Fourth Proportional to 10,088.48, 15,144.06 and 4,250

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Solution

The fourth proportional to 10,088.48, 15,144.06 and 4,250 is: 6,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.48 : 15,144.06 = 4,250 : x
  2. Step 2: Convert to fraction form
    10,088.48/15,144.06 = 4,250/x
  3. Step 3: Cross multiply
    10,088.48x = 15,144.06 × 4,250
  4. Step 4: Simplify right side
    10,088.48x = 64,362,255
  5. Step 5: Solve for x
    x = 64,362,255/10,088.48
  6. Step 6: Final answer
    x = 6,379.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.