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Finding the Fourth Proportional to 9,098.76, 13,635.90 and 4,707

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Solution

The fourth proportional to 9,098.76, 13,635.90 and 4,707 is: 7,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.76 : 13,635.90 = 4,707 : x
  2. Step 2: Convert to fraction form
    9,098.76/13,635.90 = 4,707/x
  3. Step 3: Cross multiply
    9,098.76x = 13,635.90 × 4,707
  4. Step 4: Simplify right side
    9,098.76x = 64,184,181.30
  5. Step 5: Solve for x
    x = 64,184,181.30/9,098.76
  6. Step 6: Final answer
    x = 7,054.17

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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.