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Finding the Fourth Proportional to 6,709.77, 9,242.10 and 5,646.24

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Solution

The fourth proportional to 6,709.77, 9,242.10 and 5,646.24 is: 7,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.77 : 9,242.10 = 5,646.24 : x
  2. Step 2: Convert to fraction form
    6,709.77/9,242.10 = 5,646.24/x
  3. Step 3: Cross multiply
    6,709.77x = 9,242.10 × 5,646.24
  4. Step 4: Simplify right side
    6,709.77x = 52,183,114.70
  5. Step 5: Solve for x
    x = 52,183,114.70/6,709.77
  6. Step 6: Final answer
    x = 7,777.18

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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.