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Finding the Fourth Proportional to 9,754.80, 13,464.54 and 5,723.88

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Solution

The fourth proportional to 9,754.80, 13,464.54 and 5,723.88 is: 7,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.80 : 13,464.54 = 5,723.88 : x
  2. Step 2: Convert to fraction form
    9,754.80/13,464.54 = 5,723.88/x
  3. Step 3: Cross multiply
    9,754.80x = 13,464.54 × 5,723.88
  4. Step 4: Simplify right side
    9,754.80x = 77,069,411.22
  5. Step 5: Solve for x
    x = 77,069,411.22/9,754.80
  6. Step 6: Final answer
    x = 7,900.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.