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Finding the Fourth Proportional to 6,300.18, 9,452.70 and 2,835

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Solution

The fourth proportional to 6,300.18, 9,452.70 and 2,835 is: 4,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.18 : 9,452.70 = 2,835 : x
  2. Step 2: Convert to fraction form
    6,300.18/9,452.70 = 2,835/x
  3. Step 3: Cross multiply
    6,300.18x = 9,452.70 × 2,835
  4. Step 4: Simplify right side
    6,300.18x = 26,798,404.50
  5. Step 5: Solve for x
    x = 26,798,404.50/6,300.18
  6. Step 6: Final answer
    x = 4,253.59

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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.