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Finding the Fourth Proportional to 7,156.96, 9,869.08 and 5,662.48

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Solution

The fourth proportional to 7,156.96, 9,869.08 and 5,662.48 is: 7,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.96 : 9,869.08 = 5,662.48 : x
  2. Step 2: Convert to fraction form
    7,156.96/9,869.08 = 5,662.48/x
  3. Step 3: Cross multiply
    7,156.96x = 9,869.08 × 5,662.48
  4. Step 4: Simplify right side
    7,156.96x = 55,883,468.12
  5. Step 5: Solve for x
    x = 55,883,468.12/7,156.96
  6. Step 6: Final answer
    x = 7,808.27

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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.