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Finding the Fourth Proportional to 6,525.50, 9,800.60 and 4,077.50

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Solution

The fourth proportional to 6,525.50, 9,800.60 and 4,077.50 is: 6,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.50 : 9,800.60 = 4,077.50 : x
  2. Step 2: Convert to fraction form
    6,525.50/9,800.60 = 4,077.50/x
  3. Step 3: Cross multiply
    6,525.50x = 9,800.60 × 4,077.50
  4. Step 4: Simplify right side
    6,525.50x = 39,961,877.11
  5. Step 5: Solve for x
    x = 39,961,877.11/6,525.50
  6. Step 6: Final answer
    x = 6,123.96

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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.