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Finding the Fourth Proportional to 9,194.59, 12,673.12 and 7,040.40

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Solution

The fourth proportional to 9,194.59, 12,673.12 and 7,040.40 is: 9,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.59 : 12,673.12 = 7,040.40 : x
  2. Step 2: Convert to fraction form
    9,194.59/12,673.12 = 7,040.40/x
  3. Step 3: Cross multiply
    9,194.59x = 12,673.12 × 7,040.40
  4. Step 4: Simplify right side
    9,194.59x = 89,223,834.05
  5. Step 5: Solve for x
    x = 89,223,834.05/9,194.59
  6. Step 6: Final answer
    x = 9,703.95

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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.