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Finding the Fourth Proportional to 9,730.41, 14,612.12 and 6,358.78

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Solution

The fourth proportional to 9,730.41, 14,612.12 and 6,358.78 is: 9,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.41 : 14,612.12 = 6,358.78 : x
  2. Step 2: Convert to fraction form
    9,730.41/14,612.12 = 6,358.78/x
  3. Step 3: Cross multiply
    9,730.41x = 14,612.12 × 6,358.78
  4. Step 4: Simplify right side
    9,730.41x = 92,915,256.41
  5. Step 5: Solve for x
    x = 92,915,256.41/9,730.41
  6. Step 6: Final answer
    x = 9,548.96

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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.