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Finding the Fourth Proportional to 9,312.68, 13,969.74 and 3,765.80

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Solution

The fourth proportional to 9,312.68, 13,969.74 and 3,765.80 is: 5,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.68 : 13,969.74 = 3,765.80 : x
  2. Step 2: Convert to fraction form
    9,312.68/13,969.74 = 3,765.80/x
  3. Step 3: Cross multiply
    9,312.68x = 13,969.74 × 3,765.80
  4. Step 4: Simplify right side
    9,312.68x = 52,607,246.89
  5. Step 5: Solve for x
    x = 52,607,246.89/9,312.68
  6. Step 6: Final answer
    x = 5,648.99

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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.