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Finding the Fourth Proportional to 6,419.86, 9,630.15 and 1,802.50

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Solution

The fourth proportional to 6,419.86, 9,630.15 and 1,802.50 is: 2,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.86 : 9,630.15 = 1,802.50 : x
  2. Step 2: Convert to fraction form
    6,419.86/9,630.15 = 1,802.50/x
  3. Step 3: Cross multiply
    6,419.86x = 9,630.15 × 1,802.50
  4. Step 4: Simplify right side
    6,419.86x = 17,358,345.38
  5. Step 5: Solve for x
    x = 17,358,345.38/6,419.86
  6. Step 6: Final answer
    x = 2,703.85

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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.