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Finding the Fourth Proportional to 7,165.62, 9,896.93 and 6,535.04

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Solution

The fourth proportional to 7,165.62, 9,896.93 and 6,535.04 is: 9,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.62 : 9,896.93 = 6,535.04 : x
  2. Step 2: Convert to fraction form
    7,165.62/9,896.93 = 6,535.04/x
  3. Step 3: Cross multiply
    7,165.62x = 9,896.93 × 6,535.04
  4. Step 4: Simplify right side
    7,165.62x = 64,676,751.27
  5. Step 5: Solve for x
    x = 64,676,751.27/7,165.62
  6. Step 6: Final answer
    x = 9,025.98

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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.