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Finding the Fourth Proportional to 9,835.96, 14,746.74 and 4,639

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Solution

The fourth proportional to 9,835.96, 14,746.74 and 4,639 is: 6,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.96 : 14,746.74 = 4,639 : x
  2. Step 2: Convert to fraction form
    9,835.96/14,746.74 = 4,639/x
  3. Step 3: Cross multiply
    9,835.96x = 14,746.74 × 4,639
  4. Step 4: Simplify right side
    9,835.96x = 68,410,126.86
  5. Step 5: Solve for x
    x = 68,410,126.86/9,835.96
  6. Step 6: Final answer
    x = 6,955.10

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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.