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Finding the Fourth Proportional to 9,804.68, 14,706.30 and 2,879.72

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Solution

The fourth proportional to 9,804.68, 14,706.30 and 2,879.72 is: 4,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.68 : 14,706.30 = 2,879.72 : x
  2. Step 2: Convert to fraction form
    9,804.68/14,706.30 = 2,879.72/x
  3. Step 3: Cross multiply
    9,804.68x = 14,706.30 × 2,879.72
  4. Step 4: Simplify right side
    9,804.68x = 42,350,026.24
  5. Step 5: Solve for x
    x = 42,350,026.24/9,804.68
  6. Step 6: Final answer
    x = 4,319.37

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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.