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Finding the Fourth Proportional to 10,616.76, 14,647.34 and 7,299

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Solution

The fourth proportional to 10,616.76, 14,647.34 and 7,299 is: 10,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.76 : 14,647.34 = 7,299 : x
  2. Step 2: Convert to fraction form
    10,616.76/14,647.34 = 7,299/x
  3. Step 3: Cross multiply
    10,616.76x = 14,647.34 × 7,299
  4. Step 4: Simplify right side
    10,616.76x = 106,910,934.66
  5. Step 5: Solve for x
    x = 106,910,934.66/10,616.76
  6. Step 6: Final answer
    x = 10,070.02

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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.