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Finding the Fourth Proportional to 4,339.92, 6,509.34 and 1,417.98

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Solution

The fourth proportional to 4,339.92, 6,509.34 and 1,417.98 is: 2,126.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.92 : 6,509.34 = 1,417.98 : x
  2. Step 2: Convert to fraction form
    4,339.92/6,509.34 = 1,417.98/x
  3. Step 3: Cross multiply
    4,339.92x = 6,509.34 × 1,417.98
  4. Step 4: Simplify right side
    4,339.92x = 9,230,113.93
  5. Step 5: Solve for x
    x = 9,230,113.93/4,339.92
  6. Step 6: Final answer
    x = 2,126.79

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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.