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Finding the Fourth Proportional to 24,738, 37,109.16 and 6,270

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Solution

The fourth proportional to 24,738, 37,109.16 and 6,270 is: 9,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738 : 37,109.16 = 6,270 : x
  2. Step 2: Convert to fraction form
    24,738/37,109.16 = 6,270/x
  3. Step 3: Cross multiply
    24,738x = 37,109.16 × 6,270
  4. Step 4: Simplify right side
    24,738x = 232,674,433.20
  5. Step 5: Solve for x
    x = 232,674,433.20/24,738
  6. Step 6: Final answer
    x = 9,405.55

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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.