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Finding the Fourth Proportional to 9,263.62, 12,784.10 and 5,071.87

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Solution

The fourth proportional to 9,263.62, 12,784.10 and 5,071.87 is: 6,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.62 : 12,784.10 = 5,071.87 : x
  2. Step 2: Convert to fraction form
    9,263.62/12,784.10 = 5,071.87/x
  3. Step 3: Cross multiply
    9,263.62x = 12,784.10 × 5,071.87
  4. Step 4: Simplify right side
    9,263.62x = 64,839,267.91
  5. Step 5: Solve for x
    x = 64,839,267.91/9,263.62
  6. Step 6: Final answer
    x = 6,999.34

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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.