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Finding the Fourth Proportional to 6,504.64, 9,679.08 and 6,482.77

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Solution

The fourth proportional to 6,504.64, 9,679.08 and 6,482.77 is: 9,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.64 : 9,679.08 = 6,482.77 : x
  2. Step 2: Convert to fraction form
    6,504.64/9,679.08 = 6,482.77/x
  3. Step 3: Cross multiply
    6,504.64x = 9,679.08 × 6,482.77
  4. Step 4: Simplify right side
    6,504.64x = 62,747,249.45
  5. Step 5: Solve for x
    x = 62,747,249.45/6,504.64
  6. Step 6: Final answer
    x = 9,646.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.