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Finding the Fourth Proportional to 9,745.20, 14,525.16 and 9,191.64

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Solution

The fourth proportional to 9,745.20, 14,525.16 and 9,191.64 is: 13,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.20 : 14,525.16 = 9,191.64 : x
  2. Step 2: Convert to fraction form
    9,745.20/14,525.16 = 9,191.64/x
  3. Step 3: Cross multiply
    9,745.20x = 14,525.16 × 9,191.64
  4. Step 4: Simplify right side
    9,745.20x = 133,510,041.66
  5. Step 5: Solve for x
    x = 133,510,041.66/9,745.20
  6. Step 6: Final answer
    x = 13,700.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.