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Finding the Fourth Proportional to 9,703.50, 13,392.99 and 6,166.02

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Solution

The fourth proportional to 9,703.50, 13,392.99 and 6,166.02 is: 8,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.50 : 13,392.99 = 6,166.02 : x
  2. Step 2: Convert to fraction form
    9,703.50/13,392.99 = 6,166.02/x
  3. Step 3: Cross multiply
    9,703.50x = 13,392.99 × 6,166.02
  4. Step 4: Simplify right side
    9,703.50x = 82,581,444.20
  5. Step 5: Solve for x
    x = 82,581,444.20/9,703.50
  6. Step 6: Final answer
    x = 8,510.48

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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.