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Finding the Fourth Proportional to 9,772.46, 13,485.95 and 5,296.31

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Solution

The fourth proportional to 9,772.46, 13,485.95 and 5,296.31 is: 7,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.46 : 13,485.95 = 5,296.31 : x
  2. Step 2: Convert to fraction form
    9,772.46/13,485.95 = 5,296.31/x
  3. Step 3: Cross multiply
    9,772.46x = 13,485.95 × 5,296.31
  4. Step 4: Simplify right side
    9,772.46x = 71,425,677.93
  5. Step 5: Solve for x
    x = 71,425,677.93/9,772.46
  6. Step 6: Final answer
    x = 7,308.88

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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.