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Finding the Fourth Proportional to 6,653.06, 9,980.76 and 4,050.50

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Solution

The fourth proportional to 6,653.06, 9,980.76 and 4,050.50 is: 6,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.06 : 9,980.76 = 4,050.50 : x
  2. Step 2: Convert to fraction form
    6,653.06/9,980.76 = 4,050.50/x
  3. Step 3: Cross multiply
    6,653.06x = 9,980.76 × 4,050.50
  4. Step 4: Simplify right side
    6,653.06x = 40,427,068.38
  5. Step 5: Solve for x
    x = 40,427,068.38/6,653.06
  6. Step 6: Final answer
    x = 6,076.46

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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.