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Finding the Fourth Proportional to 9,578.62, 13,218.74 and 5,802.46

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Solution

The fourth proportional to 9,578.62, 13,218.74 and 5,802.46 is: 8,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.62 : 13,218.74 = 5,802.46 : x
  2. Step 2: Convert to fraction form
    9,578.62/13,218.74 = 5,802.46/x
  3. Step 3: Cross multiply
    9,578.62x = 13,218.74 × 5,802.46
  4. Step 4: Simplify right side
    9,578.62x = 76,701,210.10
  5. Step 5: Solve for x
    x = 76,701,210.10/9,578.62
  6. Step 6: Final answer
    x = 8,007.54

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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.