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Finding the Fourth Proportional to 9,703, 13,392.30 and 6,165.52

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Solution

The fourth proportional to 9,703, 13,392.30 and 6,165.52 is: 8,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703 : 13,392.30 = 6,165.52 : x
  2. Step 2: Convert to fraction form
    9,703/13,392.30 = 6,165.52/x
  3. Step 3: Cross multiply
    9,703x = 13,392.30 × 6,165.52
  4. Step 4: Simplify right side
    9,703x = 82,570,493.50
  5. Step 5: Solve for x
    x = 82,570,493.50/9,703
  6. Step 6: Final answer
    x = 8,509.79

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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.