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Finding the Fourth Proportional to 6,889.82, 9,510.09 and 6,537.17

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Solution

The fourth proportional to 6,889.82, 9,510.09 and 6,537.17 is: 9,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.82 : 9,510.09 = 6,537.17 : x
  2. Step 2: Convert to fraction form
    6,889.82/9,510.09 = 6,537.17/x
  3. Step 3: Cross multiply
    6,889.82x = 9,510.09 × 6,537.17
  4. Step 4: Simplify right side
    6,889.82x = 62,169,075.05
  5. Step 5: Solve for x
    x = 62,169,075.05/6,889.82
  6. Step 6: Final answer
    x = 9,023.32

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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.