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Finding the Fourth Proportional to 9,706.92, 14,562.41 and 4,712.87

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Solution

The fourth proportional to 9,706.92, 14,562.41 and 4,712.87 is: 7,070.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.92 : 14,562.41 = 4,712.87 : x
  2. Step 2: Convert to fraction form
    9,706.92/14,562.41 = 4,712.87/x
  3. Step 3: Cross multiply
    9,706.92x = 14,562.41 × 4,712.87
  4. Step 4: Simplify right side
    9,706.92x = 68,630,648.84
  5. Step 5: Solve for x
    x = 68,630,648.84/9,706.92
  6. Step 6: Final answer
    x = 7,070.28

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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.