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Finding the Fourth Proportional to 6,483.64, 9,726.14 and 2,323.04

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Solution

The fourth proportional to 6,483.64, 9,726.14 and 2,323.04 is: 3,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.64 : 9,726.14 = 2,323.04 : x
  2. Step 2: Convert to fraction form
    6,483.64/9,726.14 = 2,323.04/x
  3. Step 3: Cross multiply
    6,483.64x = 9,726.14 × 2,323.04
  4. Step 4: Simplify right side
    6,483.64x = 22,594,212.27
  5. Step 5: Solve for x
    x = 22,594,212.27/6,483.64
  6. Step 6: Final answer
    x = 3,484.80

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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.