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Finding the Fourth Proportional to 7,866.96, 10,849.32 and 6,545.04

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Solution

The fourth proportional to 7,866.96, 10,849.32 and 6,545.04 is: 9,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.96 : 10,849.32 = 6,545.04 : x
  2. Step 2: Convert to fraction form
    7,866.96/10,849.32 = 6,545.04/x
  3. Step 3: Cross multiply
    7,866.96x = 10,849.32 × 6,545.04
  4. Step 4: Simplify right side
    7,866.96x = 71,009,233.37
  5. Step 5: Solve for x
    x = 71,009,233.37/7,866.96
  6. Step 6: Final answer
    x = 9,026.26

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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.