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Finding the Fourth Proportional to 9,978.58, 14,967.87 and 4,056.06

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Solution

The fourth proportional to 9,978.58, 14,967.87 and 4,056.06 is: 6,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.58 : 14,967.87 = 4,056.06 : x
  2. Step 2: Convert to fraction form
    9,978.58/14,967.87 = 4,056.06/x
  3. Step 3: Cross multiply
    9,978.58x = 14,967.87 × 4,056.06
  4. Step 4: Simplify right side
    9,978.58x = 60,710,578.79
  5. Step 5: Solve for x
    x = 60,710,578.79/9,978.58
  6. Step 6: Final answer
    x = 6,084.09

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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.