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Finding the Fourth Proportional to 10,762.12, 16,135.74 and 5,486.90

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Solution

The fourth proportional to 10,762.12, 16,135.74 and 5,486.90 is: 8,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.12 : 16,135.74 = 5,486.90 : x
  2. Step 2: Convert to fraction form
    10,762.12/16,135.74 = 5,486.90/x
  3. Step 3: Cross multiply
    10,762.12x = 16,135.74 × 5,486.90
  4. Step 4: Simplify right side
    10,762.12x = 88,535,111.13
  5. Step 5: Solve for x
    x = 88,535,111.13/10,762.12
  6. Step 6: Final answer
    x = 8,226.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.