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Finding the Fourth Proportional to 10,658.90, 14,710.34 and 7,965.44

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Solution

The fourth proportional to 10,658.90, 14,710.34 and 7,965.44 is: 10,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.90 : 14,710.34 = 7,965.44 : x
  2. Step 2: Convert to fraction form
    10,658.90/14,710.34 = 7,965.44/x
  3. Step 3: Cross multiply
    10,658.90x = 14,710.34 × 7,965.44
  4. Step 4: Simplify right side
    10,658.90x = 117,174,330.65
  5. Step 5: Solve for x
    x = 117,174,330.65/10,658.90
  6. Step 6: Final answer
    x = 10,993.10

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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.