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Finding the Fourth Proportional to 30,627.58, 45,931.65 and 9,846.22

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Solution

The fourth proportional to 30,627.58, 45,931.65 and 9,846.22 is: 14,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.58 : 45,931.65 = 9,846.22 : x
  2. Step 2: Convert to fraction form
    30,627.58/45,931.65 = 9,846.22/x
  3. Step 3: Cross multiply
    30,627.58x = 45,931.65 × 9,846.22
  4. Step 4: Simplify right side
    30,627.58x = 452,253,130.86
  5. Step 5: Solve for x
    x = 452,253,130.86/30,627.58
  6. Step 6: Final answer
    x = 14,766.21

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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.