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Finding the Fourth Proportional to 6,483.99, 9,727.51 and 2,101.43

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Solution

The fourth proportional to 6,483.99, 9,727.51 and 2,101.43 is: 3,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.99 : 9,727.51 = 2,101.43 : x
  2. Step 2: Convert to fraction form
    6,483.99/9,727.51 = 2,101.43/x
  3. Step 3: Cross multiply
    6,483.99x = 9,727.51 × 2,101.43
  4. Step 4: Simplify right side
    6,483.99x = 20,441,681.34
  5. Step 5: Solve for x
    x = 20,441,681.34/6,483.99
  6. Step 6: Final answer
    x = 3,152.64

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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.