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Finding the Fourth Proportional to 9,046.64, 13,570.80 and 2,806.70

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Solution

The fourth proportional to 9,046.64, 13,570.80 and 2,806.70 is: 4,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.64 : 13,570.80 = 2,806.70 : x
  2. Step 2: Convert to fraction form
    9,046.64/13,570.80 = 2,806.70/x
  3. Step 3: Cross multiply
    9,046.64x = 13,570.80 × 2,806.70
  4. Step 4: Simplify right side
    9,046.64x = 38,089,164.36
  5. Step 5: Solve for x
    x = 38,089,164.36/9,046.64
  6. Step 6: Final answer
    x = 4,210.31

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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.