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Finding the Fourth Proportional to 9,594.15, 14,406.86 and 5,919.72

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Solution

The fourth proportional to 9,594.15, 14,406.86 and 5,919.72 is: 8,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.15 : 14,406.86 = 5,919.72 : x
  2. Step 2: Convert to fraction form
    9,594.15/14,406.86 = 5,919.72/x
  3. Step 3: Cross multiply
    9,594.15x = 14,406.86 × 5,919.72
  4. Step 4: Simplify right side
    9,594.15x = 85,284,547.68
  5. Step 5: Solve for x
    x = 85,284,547.68/9,594.15
  6. Step 6: Final answer
    x = 8,889.22

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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.