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Finding the Fourth Proportional to 9,594.92, 14,390.81 and 6,813.18

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Solution

The fourth proportional to 9,594.92, 14,390.81 and 6,813.18 is: 10,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.92 : 14,390.81 = 6,813.18 : x
  2. Step 2: Convert to fraction form
    9,594.92/14,390.81 = 6,813.18/x
  3. Step 3: Cross multiply
    9,594.92x = 14,390.81 × 6,813.18
  4. Step 4: Simplify right side
    9,594.92x = 98,047,208.68
  5. Step 5: Solve for x
    x = 98,047,208.68/9,594.92
  6. Step 6: Final answer
    x = 10,218.66

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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.