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Finding the Fourth Proportional to 9,797.80, 14,675.10 and 8,703.40

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Solution

The fourth proportional to 9,797.80, 14,675.10 and 8,703.40 is: 13,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.80 : 14,675.10 = 8,703.40 : x
  2. Step 2: Convert to fraction form
    9,797.80/14,675.10 = 8,703.40/x
  3. Step 3: Cross multiply
    9,797.80x = 14,675.10 × 8,703.40
  4. Step 4: Simplify right side
    9,797.80x = 127,723,265.34
  5. Step 5: Solve for x
    x = 127,723,265.34/9,797.80
  6. Step 6: Final answer
    x = 13,035.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.