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Finding the Fourth Proportional to 37,671, 56,506.50 and 9,969

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Solution

The fourth proportional to 37,671, 56,506.50 and 9,969 is: 14,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671 : 56,506.50 = 9,969 : x
  2. Step 2: Convert to fraction form
    37,671/56,506.50 = 9,969/x
  3. Step 3: Cross multiply
    37,671x = 56,506.50 × 9,969
  4. Step 4: Simplify right side
    37,671x = 563,313,298.50
  5. Step 5: Solve for x
    x = 563,313,298.50/37,671
  6. Step 6: Final answer
    x = 14,953.50

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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.