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Finding the Fourth Proportional to 9,110.40, 13,665.60 and 5,827.20

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Solution

The fourth proportional to 9,110.40, 13,665.60 and 5,827.20 is: 8,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.40 : 13,665.60 = 5,827.20 : x
  2. Step 2: Convert to fraction form
    9,110.40/13,665.60 = 5,827.20/x
  3. Step 3: Cross multiply
    9,110.40x = 13,665.60 × 5,827.20
  4. Step 4: Simplify right side
    9,110.40x = 79,632,184.32
  5. Step 5: Solve for x
    x = 79,632,184.32/9,110.40
  6. Step 6: Final answer
    x = 8,740.80

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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.