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Finding the Fourth Proportional to 37,562.16, 56,343.24 and 9,858

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Solution

The fourth proportional to 37,562.16, 56,343.24 and 9,858 is: 14,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,562.16 : 56,343.24 = 9,858 : x
  2. Step 2: Convert to fraction form
    37,562.16/56,343.24 = 9,858/x
  3. Step 3: Cross multiply
    37,562.16x = 56,343.24 × 9,858
  4. Step 4: Simplify right side
    37,562.16x = 555,431,659.92
  5. Step 5: Solve for x
    x = 555,431,659.92/37,562.16
  6. Step 6: Final answer
    x = 14,787.00

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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.