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Finding the Fourth Proportional to 7,857.01, 10,842.03 and 4,626.32

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Solution

The fourth proportional to 7,857.01, 10,842.03 and 4,626.32 is: 6,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.01 : 10,842.03 = 4,626.32 : x
  2. Step 2: Convert to fraction form
    7,857.01/10,842.03 = 4,626.32/x
  3. Step 3: Cross multiply
    7,857.01x = 10,842.03 × 4,626.32
  4. Step 4: Simplify right side
    7,857.01x = 50,158,646.02
  5. Step 5: Solve for x
    x = 50,158,646.02/7,857.01
  6. Step 6: Final answer
    x = 6,383.94

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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.