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Finding the Fourth Proportional to 15,266, 22,907.64 and 7,058

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Solution

The fourth proportional to 15,266, 22,907.64 and 7,058 is: 10,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266 : 22,907.64 = 7,058 : x
  2. Step 2: Convert to fraction form
    15,266/22,907.64 = 7,058/x
  3. Step 3: Cross multiply
    15,266x = 22,907.64 × 7,058
  4. Step 4: Simplify right side
    15,266x = 161,682,123.12
  5. Step 5: Solve for x
    x = 161,682,123.12/15,266
  6. Step 6: Final answer
    x = 10,590.99

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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.