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Finding the Fourth Proportional to 8,210.95, 12,323.31 and 4,264.63

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Solution

The fourth proportional to 8,210.95, 12,323.31 and 4,264.63 is: 6,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.95 : 12,323.31 = 4,264.63 : x
  2. Step 2: Convert to fraction form
    8,210.95/12,323.31 = 4,264.63/x
  3. Step 3: Cross multiply
    8,210.95x = 12,323.31 × 4,264.63
  4. Step 4: Simplify right side
    8,210.95x = 52,554,357.53
  5. Step 5: Solve for x
    x = 52,554,357.53/8,210.95
  6. Step 6: Final answer
    x = 6,400.52

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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.