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Finding the Fourth Proportional to 37,501, 56,254.74 and 9,799

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Solution

The fourth proportional to 37,501, 56,254.74 and 9,799 is: 14,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,501 : 56,254.74 = 9,799 : x
  2. Step 2: Convert to fraction form
    37,501/56,254.74 = 9,799/x
  3. Step 3: Cross multiply
    37,501x = 56,254.74 × 9,799
  4. Step 4: Simplify right side
    37,501x = 551,240,197.26
  5. Step 5: Solve for x
    x = 551,240,197.26/37,501
  6. Step 6: Final answer
    x = 14,699.35

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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.