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Finding the Fourth Proportional to 30,597.84, 45,901.05 and 9,539.46

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Solution

The fourth proportional to 30,597.84, 45,901.05 and 9,539.46 is: 14,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.84 : 45,901.05 = 9,539.46 : x
  2. Step 2: Convert to fraction form
    30,597.84/45,901.05 = 9,539.46/x
  3. Step 3: Cross multiply
    30,597.84x = 45,901.05 × 9,539.46
  4. Step 4: Simplify right side
    30,597.84x = 437,871,230.43
  5. Step 5: Solve for x
    x = 437,871,230.43/30,597.84
  6. Step 6: Final answer
    x = 14,310.53

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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.