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Finding the Fourth Proportional to 6,467.04, 9,700.80 and 6,381.60

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Solution

The fourth proportional to 6,467.04, 9,700.80 and 6,381.60 is: 9,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.04 : 9,700.80 = 6,381.60 : x
  2. Step 2: Convert to fraction form
    6,467.04/9,700.80 = 6,381.60/x
  3. Step 3: Cross multiply
    6,467.04x = 9,700.80 × 6,381.60
  4. Step 4: Simplify right side
    6,467.04x = 61,906,625.28
  5. Step 5: Solve for x
    x = 61,906,625.28/6,467.04
  6. Step 6: Final answer
    x = 9,572.64

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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.