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Finding the Fourth Proportional to 30,603.84, 45,909 and 10,884.24

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Solution

The fourth proportional to 30,603.84, 45,909 and 10,884.24 is: 16,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.84 : 45,909 = 10,884.24 : x
  2. Step 2: Convert to fraction form
    30,603.84/45,909 = 10,884.24/x
  3. Step 3: Cross multiply
    30,603.84x = 45,909 × 10,884.24
  4. Step 4: Simplify right side
    30,603.84x = 499,684,574.16
  5. Step 5: Solve for x
    x = 499,684,574.16/30,603.84
  6. Step 6: Final answer
    x = 16,327.51

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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.