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Finding the Fourth Proportional to 30,593.64, 45,897.03 and 9,533.22

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Solution

The fourth proportional to 30,593.64, 45,897.03 and 9,533.22 is: 14,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,593.64 : 45,897.03 = 9,533.22 : x
  2. Step 2: Convert to fraction form
    30,593.64/45,897.03 = 9,533.22/x
  3. Step 3: Cross multiply
    30,593.64x = 45,897.03 × 9,533.22
  4. Step 4: Simplify right side
    30,593.64x = 437,546,484.34
  5. Step 5: Solve for x
    x = 437,546,484.34/30,593.64
  6. Step 6: Final answer
    x = 14,301.88

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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.