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Finding the Fourth Proportional to 10,679.60, 14,735.44 and 7,664.24

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Solution

The fourth proportional to 10,679.60, 14,735.44 and 7,664.24 is: 10,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.60 : 14,735.44 = 7,664.24 : x
  2. Step 2: Convert to fraction form
    10,679.60/14,735.44 = 7,664.24/x
  3. Step 3: Cross multiply
    10,679.60x = 14,735.44 × 7,664.24
  4. Step 4: Simplify right side
    10,679.60x = 112,935,948.67
  5. Step 5: Solve for x
    x = 112,935,948.67/10,679.60
  6. Step 6: Final answer
    x = 10,574.92

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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.