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Finding the Fourth Proportional to 7,866.64, 10,857 and 4,723.03

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Solution

The fourth proportional to 7,866.64, 10,857 and 4,723.03 is: 6,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.64 : 10,857 = 4,723.03 : x
  2. Step 2: Convert to fraction form
    7,866.64/10,857 = 4,723.03/x
  3. Step 3: Cross multiply
    7,866.64x = 10,857 × 4,723.03
  4. Step 4: Simplify right side
    7,866.64x = 51,277,936.71
  5. Step 5: Solve for x
    x = 51,277,936.71/7,866.64
  6. Step 6: Final answer
    x = 6,518.40

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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.