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Finding the Fourth Proportional to 6,484.71, 9,727.98 and 2,323.95

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Solution

The fourth proportional to 6,484.71, 9,727.98 and 2,323.95 is: 3,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.71 : 9,727.98 = 2,323.95 : x
  2. Step 2: Convert to fraction form
    6,484.71/9,727.98 = 2,323.95/x
  3. Step 3: Cross multiply
    6,484.71x = 9,727.98 × 2,323.95
  4. Step 4: Simplify right side
    6,484.71x = 22,607,339.12
  5. Step 5: Solve for x
    x = 22,607,339.12/6,484.71
  6. Step 6: Final answer
    x = 3,486.25

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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.