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Finding the Fourth Proportional to 7,861.42, 10,852.01 and 4,717

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Solution

The fourth proportional to 7,861.42, 10,852.01 and 4,717 is: 6,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.42 : 10,852.01 = 4,717 : x
  2. Step 2: Convert to fraction form
    7,861.42/10,852.01 = 4,717/x
  3. Step 3: Cross multiply
    7,861.42x = 10,852.01 × 4,717
  4. Step 4: Simplify right side
    7,861.42x = 51,188,931.17
  5. Step 5: Solve for x
    x = 51,188,931.17/7,861.42
  6. Step 6: Final answer
    x = 6,511.41

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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.