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Finding the Fourth Proportional to 6,705.36, 9,264.88 and 6,468.80

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Solution

The fourth proportional to 6,705.36, 9,264.88 and 6,468.80 is: 8,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.36 : 9,264.88 = 6,468.80 : x
  2. Step 2: Convert to fraction form
    6,705.36/9,264.88 = 6,468.80/x
  3. Step 3: Cross multiply
    6,705.36x = 9,264.88 × 6,468.80
  4. Step 4: Simplify right side
    6,705.36x = 59,932,655.74
  5. Step 5: Solve for x
    x = 59,932,655.74/6,705.36
  6. Step 6: Final answer
    x = 8,938.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.