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Finding the Fourth Proportional to 8,946.45, 12,347.46 and 5,411.61

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Solution

The fourth proportional to 8,946.45, 12,347.46 and 5,411.61 is: 7,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.45 : 12,347.46 = 5,411.61 : x
  2. Step 2: Convert to fraction form
    8,946.45/12,347.46 = 5,411.61/x
  3. Step 3: Cross multiply
    8,946.45x = 12,347.46 × 5,411.61
  4. Step 4: Simplify right side
    8,946.45x = 66,819,638.01
  5. Step 5: Solve for x
    x = 66,819,638.01/8,946.45
  6. Step 6: Final answer
    x = 7,468.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.