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Finding the Fourth Proportional to 10,486.07, 14,471 and 5,770.35

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Solution

The fourth proportional to 10,486.07, 14,471 and 5,770.35 is: 7,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.07 : 14,471 = 5,770.35 : x
  2. Step 2: Convert to fraction form
    10,486.07/14,471 = 5,770.35/x
  3. Step 3: Cross multiply
    10,486.07x = 14,471 × 5,770.35
  4. Step 4: Simplify right side
    10,486.07x = 83,502,734.85
  5. Step 5: Solve for x
    x = 83,502,734.85/10,486.07
  6. Step 6: Final answer
    x = 7,963.21

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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.