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Finding the Fourth Proportional to 7,228.63, 10,782.19 and 6,564.23

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Solution

The fourth proportional to 7,228.63, 10,782.19 and 6,564.23 is: 9,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.63 : 10,782.19 = 6,564.23 : x
  2. Step 2: Convert to fraction form
    7,228.63/10,782.19 = 6,564.23/x
  3. Step 3: Cross multiply
    7,228.63x = 10,782.19 × 6,564.23
  4. Step 4: Simplify right side
    7,228.63x = 70,776,775.06
  5. Step 5: Solve for x
    x = 70,776,775.06/7,228.63
  6. Step 6: Final answer
    x = 9,791.17

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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.