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Finding the Fourth Proportional to 7,033.32, 9,726.93 and 6,286.10

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Solution

The fourth proportional to 7,033.32, 9,726.93 and 6,286.10 is: 8,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.32 : 9,726.93 = 6,286.10 : x
  2. Step 2: Convert to fraction form
    7,033.32/9,726.93 = 6,286.10/x
  3. Step 3: Cross multiply
    7,033.32x = 9,726.93 × 6,286.10
  4. Step 4: Simplify right side
    7,033.32x = 61,144,406.04
  5. Step 5: Solve for x
    x = 61,144,406.04/7,033.32
  6. Step 6: Final answer
    x = 8,693.53

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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.