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Finding the Fourth Proportional to 12,755.10, 19,132.65 and 6,194.10

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Solution

The fourth proportional to 12,755.10, 19,132.65 and 6,194.10 is: 9,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.10 : 19,132.65 = 6,194.10 : x
  2. Step 2: Convert to fraction form
    12,755.10/19,132.65 = 6,194.10/x
  3. Step 3: Cross multiply
    12,755.10x = 19,132.65 × 6,194.10
  4. Step 4: Simplify right side
    12,755.10x = 118,509,547.37
  5. Step 5: Solve for x
    x = 118,509,547.37/12,755.10
  6. Step 6: Final answer
    x = 9,291.15

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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.