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Finding the Fourth Proportional to 9,314.95, 13,960.50 and 4,572.20

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Solution

The fourth proportional to 9,314.95, 13,960.50 and 4,572.20 is: 6,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.95 : 13,960.50 = 4,572.20 : x
  2. Step 2: Convert to fraction form
    9,314.95/13,960.50 = 4,572.20/x
  3. Step 3: Cross multiply
    9,314.95x = 13,960.50 × 4,572.20
  4. Step 4: Simplify right side
    9,314.95x = 63,830,163.05
  5. Step 5: Solve for x
    x = 63,830,163.05/9,314.95
  6. Step 6: Final answer
    x = 6,852.44

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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.