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Finding the Fourth Proportional to 11,643.35, 16,069.19 and 6,864.35

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Solution

The fourth proportional to 11,643.35, 16,069.19 and 6,864.35 is: 9,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.35 : 16,069.19 = 6,864.35 : x
  2. Step 2: Convert to fraction form
    11,643.35/16,069.19 = 6,864.35/x
  3. Step 3: Cross multiply
    11,643.35x = 16,069.19 × 6,864.35
  4. Step 4: Simplify right side
    11,643.35x = 110,304,429.71
  5. Step 5: Solve for x
    x = 110,304,429.71/11,643.35
  6. Step 6: Final answer
    x = 9,473.60

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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.