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Finding the Fourth Proportional to 7,817.76, 10,788.22 and 4,461.64

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Solution

The fourth proportional to 7,817.76, 10,788.22 and 4,461.64 is: 6,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.76 : 10,788.22 = 4,461.64 : x
  2. Step 2: Convert to fraction form
    7,817.76/10,788.22 = 4,461.64/x
  3. Step 3: Cross multiply
    7,817.76x = 10,788.22 × 4,461.64
  4. Step 4: Simplify right side
    7,817.76x = 48,133,153.88
  5. Step 5: Solve for x
    x = 48,133,153.88/7,817.76
  6. Step 6: Final answer
    x = 6,156.90

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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.