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Finding the Fourth Proportional to 9,518.46, 14,277.12 and 5,069.22

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Solution

The fourth proportional to 9,518.46, 14,277.12 and 5,069.22 is: 7,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.46 : 14,277.12 = 5,069.22 : x
  2. Step 2: Convert to fraction form
    9,518.46/14,277.12 = 5,069.22/x
  3. Step 3: Cross multiply
    9,518.46x = 14,277.12 × 5,069.22
  4. Step 4: Simplify right side
    9,518.46x = 72,373,862.25
  5. Step 5: Solve for x
    x = 72,373,862.25/9,518.46
  6. Step 6: Final answer
    x = 7,603.53

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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.