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Finding the Fourth Proportional to 6,467.04, 9,701.04 and 1,850

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Solution

The fourth proportional to 6,467.04, 9,701.04 and 1,850 is: 2,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.04 : 9,701.04 = 1,850 : x
  2. Step 2: Convert to fraction form
    6,467.04/9,701.04 = 1,850/x
  3. Step 3: Cross multiply
    6,467.04x = 9,701.04 × 1,850
  4. Step 4: Simplify right side
    6,467.04x = 17,946,924
  5. Step 5: Solve for x
    x = 17,946,924/6,467.04
  6. Step 6: Final answer
    x = 2,775.14

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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.