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Finding the Fourth Proportional to 6,495.26, 9,742.88 and 5,204.93

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Solution

The fourth proportional to 6,495.26, 9,742.88 and 5,204.93 is: 7,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.26 : 9,742.88 = 5,204.93 : x
  2. Step 2: Convert to fraction form
    6,495.26/9,742.88 = 5,204.93/x
  3. Step 3: Cross multiply
    6,495.26x = 9,742.88 × 5,204.93
  4. Step 4: Simplify right side
    6,495.26x = 50,710,972.70
  5. Step 5: Solve for x
    x = 50,710,972.70/6,495.26
  6. Step 6: Final answer
    x = 7,807.39

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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.