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Finding the Fourth Proportional to 37,391.86, 56,087.07 and 9,689.14

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Solution

The fourth proportional to 37,391.86, 56,087.07 and 9,689.14 is: 14,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,391.86 : 56,087.07 = 9,689.14 : x
  2. Step 2: Convert to fraction form
    37,391.86/56,087.07 = 9,689.14/x
  3. Step 3: Cross multiply
    37,391.86x = 56,087.07 × 9,689.14
  4. Step 4: Simplify right side
    37,391.86x = 543,435,473.42
  5. Step 5: Solve for x
    x = 543,435,473.42/37,391.86
  6. Step 6: Final answer
    x = 14,533.52

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1.5x scale

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.