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Finding the Fourth Proportional to 9,643.74, 13,309.35 and 5,867.18

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Solution

The fourth proportional to 9,643.74, 13,309.35 and 5,867.18 is: 8,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.74 : 13,309.35 = 5,867.18 : x
  2. Step 2: Convert to fraction form
    9,643.74/13,309.35 = 5,867.18/x
  3. Step 3: Cross multiply
    9,643.74x = 13,309.35 × 5,867.18
  4. Step 4: Simplify right side
    9,643.74x = 78,088,285.59
  5. Step 5: Solve for x
    x = 78,088,285.59/9,643.74
  6. Step 6: Final answer
    x = 8,097.30

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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.