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Finding the Fourth Proportional to 5,307.62, 8,011.31 and 5,307.62

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Solution

The fourth proportional to 5,307.62, 8,011.31 and 5,307.62 is: 8,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.62 : 8,011.31 = 5,307.62 : x
  2. Step 2: Convert to fraction form
    5,307.62/8,011.31 = 5,307.62/x
  3. Step 3: Cross multiply
    5,307.62x = 8,011.31 × 5,307.62
  4. Step 4: Simplify right side
    5,307.62x = 42,520,989.18
  5. Step 5: Solve for x
    x = 42,520,989.18/5,307.62
  6. Step 6: Final answer
    x = 8,011.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.