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Finding the Fourth Proportional to 37,518, 56,280.24 and 9,816

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Solution

The fourth proportional to 37,518, 56,280.24 and 9,816 is: 14,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,518 : 56,280.24 = 9,816 : x
  2. Step 2: Convert to fraction form
    37,518/56,280.24 = 9,816/x
  3. Step 3: Cross multiply
    37,518x = 56,280.24 × 9,816
  4. Step 4: Simplify right side
    37,518x = 552,446,835.84
  5. Step 5: Solve for x
    x = 552,446,835.84/37,518
  6. Step 6: Final answer
    x = 14,724.85

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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.