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Finding the Fourth Proportional to 9,610.64, 13,257 and 7,245.36

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Solution

The fourth proportional to 9,610.64, 13,257 and 7,245.36 is: 9,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.64 : 13,257 = 7,245.36 : x
  2. Step 2: Convert to fraction form
    9,610.64/13,257 = 7,245.36/x
  3. Step 3: Cross multiply
    9,610.64x = 13,257 × 7,245.36
  4. Step 4: Simplify right side
    9,610.64x = 96,051,737.52
  5. Step 5: Solve for x
    x = 96,051,737.52/9,610.64
  6. Step 6: Final answer
    x = 9,994.31

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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.