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Finding the Fourth Proportional to 6,468.24, 9,702.06 and 1,851.24

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Solution

The fourth proportional to 6,468.24, 9,702.06 and 1,851.24 is: 2,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.24 : 9,702.06 = 1,851.24 : x
  2. Step 2: Convert to fraction form
    6,468.24/9,702.06 = 1,851.24/x
  3. Step 3: Cross multiply
    6,468.24x = 9,702.06 × 1,851.24
  4. Step 4: Simplify right side
    6,468.24x = 17,960,841.55
  5. Step 5: Solve for x
    x = 17,960,841.55/6,468.24
  6. Step 6: Final answer
    x = 2,776.77

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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.