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Finding the Fourth Proportional to 7,710.96, 11,577.96 and 4,596.24

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Solution

The fourth proportional to 7,710.96, 11,577.96 and 4,596.24 is: 6,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.96 : 11,577.96 = 4,596.24 : x
  2. Step 2: Convert to fraction form
    7,710.96/11,577.96 = 4,596.24/x
  3. Step 3: Cross multiply
    7,710.96x = 11,577.96 × 4,596.24
  4. Step 4: Simplify right side
    7,710.96x = 53,215,082.87
  5. Step 5: Solve for x
    x = 53,215,082.87/7,710.96
  6. Step 6: Final answer
    x = 6,901.23

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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.