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Finding the Fourth Proportional to 9,803.34, 14,675.85 and 7,849.62

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Solution

The fourth proportional to 9,803.34, 14,675.85 and 7,849.62 is: 11,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.34 : 14,675.85 = 7,849.62 : x
  2. Step 2: Convert to fraction form
    9,803.34/14,675.85 = 7,849.62/x
  3. Step 3: Cross multiply
    9,803.34x = 14,675.85 × 7,849.62
  4. Step 4: Simplify right side
    9,803.34x = 115,199,845.68
  5. Step 5: Solve for x
    x = 115,199,845.68/9,803.34
  6. Step 6: Final answer
    x = 11,751.08

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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.