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Finding the Fourth Proportional to 9,838.54, 14,749.76 and 4,576.83

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Solution

The fourth proportional to 9,838.54, 14,749.76 and 4,576.83 is: 6,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.54 : 14,749.76 = 4,576.83 : x
  2. Step 2: Convert to fraction form
    9,838.54/14,749.76 = 4,576.83/x
  3. Step 3: Cross multiply
    9,838.54x = 14,749.76 × 4,576.83
  4. Step 4: Simplify right side
    9,838.54x = 67,507,070.31
  5. Step 5: Solve for x
    x = 67,507,070.31/9,838.54
  6. Step 6: Final answer
    x = 6,861.50

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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.