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Finding the Fourth Proportional to 30,284.64, 45,424.08 and 9,504.48

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Solution

The fourth proportional to 30,284.64, 45,424.08 and 9,504.48 is: 14,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.64 : 45,424.08 = 9,504.48 : x
  2. Step 2: Convert to fraction form
    30,284.64/45,424.08 = 9,504.48/x
  3. Step 3: Cross multiply
    30,284.64x = 45,424.08 × 9,504.48
  4. Step 4: Simplify right side
    30,284.64x = 431,732,259.88
  5. Step 5: Solve for x
    x = 431,732,259.88/30,284.64
  6. Step 6: Final answer
    x = 14,255.82

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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.