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Finding the Fourth Proportional to 8,574.81, 11,826.89 and 6,054.30

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Solution

The fourth proportional to 8,574.81, 11,826.89 and 6,054.30 is: 8,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.81 : 11,826.89 = 6,054.30 : x
  2. Step 2: Convert to fraction form
    8,574.81/11,826.89 = 6,054.30/x
  3. Step 3: Cross multiply
    8,574.81x = 11,826.89 × 6,054.30
  4. Step 4: Simplify right side
    8,574.81x = 71,603,509.86
  5. Step 5: Solve for x
    x = 71,603,509.86/8,574.81
  6. Step 6: Final answer
    x = 8,350.45

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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.