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Finding the Fourth Proportional to 8,307.63, 11,463.39 and 4,769.55

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Solution

The fourth proportional to 8,307.63, 11,463.39 and 4,769.55 is: 6,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.63 : 11,463.39 = 4,769.55 : x
  2. Step 2: Convert to fraction form
    8,307.63/11,463.39 = 4,769.55/x
  3. Step 3: Cross multiply
    8,307.63x = 11,463.39 × 4,769.55
  4. Step 4: Simplify right side
    8,307.63x = 54,675,211.77
  5. Step 5: Solve for x
    x = 54,675,211.77/8,307.63
  6. Step 6: Final answer
    x = 6,581.32

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Half scale
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Double scale
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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.