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Finding the Fourth Proportional to 9,810.75, 14,716.11 and 2,885.25

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Solution

The fourth proportional to 9,810.75, 14,716.11 and 2,885.25 is: 4,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.75 : 14,716.11 = 2,885.25 : x
  2. Step 2: Convert to fraction form
    9,810.75/14,716.11 = 2,885.25/x
  3. Step 3: Cross multiply
    9,810.75x = 14,716.11 × 2,885.25
  4. Step 4: Simplify right side
    9,810.75x = 42,459,598.22
  5. Step 5: Solve for x
    x = 42,459,598.22/9,810.75
  6. Step 6: Final answer
    x = 4,327.87

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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.