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Finding the Fourth Proportional to 9,712.56, 14,553.60 and 7,764.24

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Solution

The fourth proportional to 9,712.56, 14,553.60 and 7,764.24 is: 11,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.56 : 14,553.60 = 7,764.24 : x
  2. Step 2: Convert to fraction form
    9,712.56/14,553.60 = 7,764.24/x
  3. Step 3: Cross multiply
    9,712.56x = 14,553.60 × 7,764.24
  4. Step 4: Simplify right side
    9,712.56x = 112,997,643.26
  5. Step 5: Solve for x
    x = 112,997,643.26/9,712.56
  6. Step 6: Final answer
    x = 11,634.18

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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.