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Finding the Fourth Proportional to 30,627.99, 45,941.96 and 9,569.84

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Solution

The fourth proportional to 30,627.99, 45,941.96 and 9,569.84 is: 14,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.99 : 45,941.96 = 9,569.84 : x
  2. Step 2: Convert to fraction form
    30,627.99/45,941.96 = 9,569.84/x
  3. Step 3: Cross multiply
    30,627.99x = 45,941.96 × 9,569.84
  4. Step 4: Simplify right side
    30,627.99x = 439,657,206.49
  5. Step 5: Solve for x
    x = 439,657,206.49/30,627.99
  6. Step 6: Final answer
    x = 14,354.75

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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.