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Finding the Fourth Proportional to 6,866, 9,482.85 and 4,623.98

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Solution

The fourth proportional to 6,866, 9,482.85 and 4,623.98 is: 6,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866 : 9,482.85 = 4,623.98 : x
  2. Step 2: Convert to fraction form
    6,866/9,482.85 = 4,623.98/x
  3. Step 3: Cross multiply
    6,866x = 9,482.85 × 4,623.98
  4. Step 4: Simplify right side
    6,866x = 43,848,508.74
  5. Step 5: Solve for x
    x = 43,848,508.74/6,866
  6. Step 6: Final answer
    x = 6,386.33

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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.