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Finding the Fourth Proportional to 7,881.63, 11,801.59 and 4,757.46

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Solution

The fourth proportional to 7,881.63, 11,801.59 and 4,757.46 is: 7,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.63 : 11,801.59 = 4,757.46 : x
  2. Step 2: Convert to fraction form
    7,881.63/11,801.59 = 4,757.46/x
  3. Step 3: Cross multiply
    7,881.63x = 11,801.59 × 4,757.46
  4. Step 4: Simplify right side
    7,881.63x = 56,145,627.81
  5. Step 5: Solve for x
    x = 56,145,627.81/7,881.63
  6. Step 6: Final answer
    x = 7,123.60

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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.