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Finding the Fourth Proportional to 10,486.66, 14,471.53 and 6,010.48

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Solution

The fourth proportional to 10,486.66, 14,471.53 and 6,010.48 is: 8,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.66 : 14,471.53 = 6,010.48 : x
  2. Step 2: Convert to fraction form
    10,486.66/14,471.53 = 6,010.48/x
  3. Step 3: Cross multiply
    10,486.66x = 14,471.53 × 6,010.48
  4. Step 4: Simplify right side
    10,486.66x = 86,980,841.63
  5. Step 5: Solve for x
    x = 86,980,841.63/10,486.66
  6. Step 6: Final answer
    x = 8,294.43

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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.