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Finding the Fourth Proportional to 9,574.22, 14,296.79 and 7,822.67

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Solution

The fourth proportional to 9,574.22, 14,296.79 and 7,822.67 is: 11,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.22 : 14,296.79 = 7,822.67 : x
  2. Step 2: Convert to fraction form
    9,574.22/14,296.79 = 7,822.67/x
  3. Step 3: Cross multiply
    9,574.22x = 14,296.79 × 7,822.67
  4. Step 4: Simplify right side
    9,574.22x = 111,839,018.30
  5. Step 5: Solve for x
    x = 111,839,018.30/9,574.22
  6. Step 6: Final answer
    x = 11,681.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.