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Finding the Fourth Proportional to 9,198.72, 13,802.88 and 4,582.08

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Solution

The fourth proportional to 9,198.72, 13,802.88 and 4,582.08 is: 6,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.72 : 13,802.88 = 4,582.08 : x
  2. Step 2: Convert to fraction form
    9,198.72/13,802.88 = 4,582.08/x
  3. Step 3: Cross multiply
    9,198.72x = 13,802.88 × 4,582.08
  4. Step 4: Simplify right side
    9,198.72x = 63,245,900.39
  5. Step 5: Solve for x
    x = 63,245,900.39/9,198.72
  6. Step 6: Final answer
    x = 6,875.51

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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.