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Finding the Fourth Proportional to 6,473.12, 8,923.48 and 4,578.80

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Solution

The fourth proportional to 6,473.12, 8,923.48 and 4,578.80 is: 6,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.12 : 8,923.48 = 4,578.80 : x
  2. Step 2: Convert to fraction form
    6,473.12/8,923.48 = 4,578.80/x
  3. Step 3: Cross multiply
    6,473.12x = 8,923.48 × 4,578.80
  4. Step 4: Simplify right side
    6,473.12x = 40,858,830.22
  5. Step 5: Solve for x
    x = 40,858,830.22/6,473.12
  6. Step 6: Final answer
    x = 6,312.08

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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.