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Finding the Fourth Proportional to 9,461.46, 14,200.95 and 4,784.78

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Solution

The fourth proportional to 9,461.46, 14,200.95 and 4,784.78 is: 7,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.46 : 14,200.95 = 4,784.78 : x
  2. Step 2: Convert to fraction form
    9,461.46/14,200.95 = 4,784.78/x
  3. Step 3: Cross multiply
    9,461.46x = 14,200.95 × 4,784.78
  4. Step 4: Simplify right side
    9,461.46x = 67,948,326.61
  5. Step 5: Solve for x
    x = 67,948,326.61/9,461.46
  6. Step 6: Final answer
    x = 7,181.59

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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.