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Finding the Fourth Proportional to 37,680.84, 56,521.62 and 9,978.84

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Solution

The fourth proportional to 37,680.84, 56,521.62 and 9,978.84 is: 14,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680.84 : 56,521.62 = 9,978.84 : x
  2. Step 2: Convert to fraction form
    37,680.84/56,521.62 = 9,978.84/x
  3. Step 3: Cross multiply
    37,680.84x = 56,521.62 × 9,978.84
  4. Step 4: Simplify right side
    37,680.84x = 564,020,202.52
  5. Step 5: Solve for x
    x = 564,020,202.52/37,680.84
  6. Step 6: Final answer
    x = 14,968.36

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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.