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Finding the Fourth Proportional to 7,574.22, 10,443.06 and 6,225.08

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Solution

The fourth proportional to 7,574.22, 10,443.06 and 6,225.08 is: 8,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.22 : 10,443.06 = 6,225.08 : x
  2. Step 2: Convert to fraction form
    7,574.22/10,443.06 = 6,225.08/x
  3. Step 3: Cross multiply
    7,574.22x = 10,443.06 × 6,225.08
  4. Step 4: Simplify right side
    7,574.22x = 65,008,831.73
  5. Step 5: Solve for x
    x = 65,008,831.73/7,574.22
  6. Step 6: Final answer
    x = 8,582.91

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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.