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Finding the Fourth Proportional to 9,965.46, 13,753.02 and 6,602.46

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Solution

The fourth proportional to 9,965.46, 13,753.02 and 6,602.46 is: 9,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.46 : 13,753.02 = 6,602.46 : x
  2. Step 2: Convert to fraction form
    9,965.46/13,753.02 = 6,602.46/x
  3. Step 3: Cross multiply
    9,965.46x = 13,753.02 × 6,602.46
  4. Step 4: Simplify right side
    9,965.46x = 90,803,764.43
  5. Step 5: Solve for x
    x = 90,803,764.43/9,965.46
  6. Step 6: Final answer
    x = 9,111.85

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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.