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Finding the Fourth Proportional to 13,612.66, 18,784.42 and 7,643.17

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Solution

The fourth proportional to 13,612.66, 18,784.42 and 7,643.17 is: 10,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.66 : 18,784.42 = 7,643.17 : x
  2. Step 2: Convert to fraction form
    13,612.66/18,784.42 = 7,643.17/x
  3. Step 3: Cross multiply
    13,612.66x = 18,784.42 × 7,643.17
  4. Step 4: Simplify right side
    13,612.66x = 143,572,515.41
  5. Step 5: Solve for x
    x = 143,572,515.41/13,612.66
  6. Step 6: Final answer
    x = 10,546.98

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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.