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Finding the Fourth Proportional to 9,482.96, 14,252.76 and 7,850

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Solution

The fourth proportional to 9,482.96, 14,252.76 and 7,850 is: 11,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.96 : 14,252.76 = 7,850 : x
  2. Step 2: Convert to fraction form
    9,482.96/14,252.76 = 7,850/x
  3. Step 3: Cross multiply
    9,482.96x = 14,252.76 × 7,850
  4. Step 4: Simplify right side
    9,482.96x = 111,884,166
  5. Step 5: Solve for x
    x = 111,884,166/9,482.96
  6. Step 6: Final answer
    x = 11,798.44

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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.