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Finding the Fourth Proportional to 6,486.95, 9,733.46 and 2,328.68

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Solution

The fourth proportional to 6,486.95, 9,733.46 and 2,328.68 is: 3,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.95 : 9,733.46 = 2,328.68 : x
  2. Step 2: Convert to fraction form
    6,486.95/9,733.46 = 2,328.68/x
  3. Step 3: Cross multiply
    6,486.95x = 9,733.46 × 2,328.68
  4. Step 4: Simplify right side
    6,486.95x = 22,666,053.32
  5. Step 5: Solve for x
    x = 22,666,053.32/6,486.95
  6. Step 6: Final answer
    x = 3,494.10

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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.