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Finding the Fourth Proportional to 10,860.12, 14,986.74 and 5,892.12

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Solution

The fourth proportional to 10,860.12, 14,986.74 and 5,892.12 is: 8,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.12 : 14,986.74 = 5,892.12 : x
  2. Step 2: Convert to fraction form
    10,860.12/14,986.74 = 5,892.12/x
  3. Step 3: Cross multiply
    10,860.12x = 14,986.74 × 5,892.12
  4. Step 4: Simplify right side
    10,860.12x = 88,303,670.49
  5. Step 5: Solve for x
    x = 88,303,670.49/10,860.12
  6. Step 6: Final answer
    x = 8,131.00

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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.