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Finding the Fourth Proportional to 9,884.76, 14,804.46 and 6,317.52

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Solution

The fourth proportional to 9,884.76, 14,804.46 and 6,317.52 is: 9,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.76 : 14,804.46 = 6,317.52 : x
  2. Step 2: Convert to fraction form
    9,884.76/14,804.46 = 6,317.52/x
  3. Step 3: Cross multiply
    9,884.76x = 14,804.46 × 6,317.52
  4. Step 4: Simplify right side
    9,884.76x = 93,527,472.14
  5. Step 5: Solve for x
    x = 93,527,472.14/9,884.76
  6. Step 6: Final answer
    x = 9,461.78

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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.