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Finding the Fourth Proportional to 12,632.40, 18,954.06 and 6,782.17

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Solution

The fourth proportional to 12,632.40, 18,954.06 and 6,782.17 is: 10,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.40 : 18,954.06 = 6,782.17 : x
  2. Step 2: Convert to fraction form
    12,632.40/18,954.06 = 6,782.17/x
  3. Step 3: Cross multiply
    12,632.40x = 18,954.06 × 6,782.17
  4. Step 4: Simplify right side
    12,632.40x = 128,549,657.11
  5. Step 5: Solve for x
    x = 128,549,657.11/12,632.40
  6. Step 6: Final answer
    x = 10,176.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.