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Finding the Fourth Proportional to 9,763.80, 14,613.30 and 6,847.80

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Solution

The fourth proportional to 9,763.80, 14,613.30 and 6,847.80 is: 10,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.80 : 14,613.30 = 6,847.80 : x
  2. Step 2: Convert to fraction form
    9,763.80/14,613.30 = 6,847.80/x
  3. Step 3: Cross multiply
    9,763.80x = 14,613.30 × 6,847.80
  4. Step 4: Simplify right side
    9,763.80x = 100,068,955.74
  5. Step 5: Solve for x
    x = 100,068,955.74/9,763.80
  6. Step 6: Final answer
    x = 10,248.98

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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.