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Finding the Fourth Proportional to 9,602.06, 13,253.31 and 6,253.22

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Solution

The fourth proportional to 9,602.06, 13,253.31 and 6,253.22 is: 8,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.06 : 13,253.31 = 6,253.22 : x
  2. Step 2: Convert to fraction form
    9,602.06/13,253.31 = 6,253.22/x
  3. Step 3: Cross multiply
    9,602.06x = 13,253.31 × 6,253.22
  4. Step 4: Simplify right side
    9,602.06x = 82,875,863.16
  5. Step 5: Solve for x
    x = 82,875,863.16/9,602.06
  6. Step 6: Final answer
    x = 8,631.05

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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.