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Finding the Fourth Proportional to 6,554.96, 9,822.71 and 4,815.08

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Solution

The fourth proportional to 6,554.96, 9,822.71 and 4,815.08 is: 7,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.96 : 9,822.71 = 4,815.08 : x
  2. Step 2: Convert to fraction form
    6,554.96/9,822.71 = 4,815.08/x
  3. Step 3: Cross multiply
    6,554.96x = 9,822.71 × 4,815.08
  4. Step 4: Simplify right side
    6,554.96x = 47,297,061.28
  5. Step 5: Solve for x
    x = 47,297,061.28/6,554.96
  6. Step 6: Final answer
    x = 7,215.47

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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.