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Finding the Fourth Proportional to 24,838, 37,259.16 and 6,370

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Solution

The fourth proportional to 24,838, 37,259.16 and 6,370 is: 9,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838 : 37,259.16 = 6,370 : x
  2. Step 2: Convert to fraction form
    24,838/37,259.16 = 6,370/x
  3. Step 3: Cross multiply
    24,838x = 37,259.16 × 6,370
  4. Step 4: Simplify right side
    24,838x = 237,340,849.20
  5. Step 5: Solve for x
    x = 237,340,849.20/24,838
  6. Step 6: Final answer
    x = 9,555.55

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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.