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Finding the Fourth Proportional to 6,460.56, 8,920.53 and 4,696.38

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Solution

The fourth proportional to 6,460.56, 8,920.53 and 4,696.38 is: 6,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.56 : 8,920.53 = 4,696.38 : x
  2. Step 2: Convert to fraction form
    6,460.56/8,920.53 = 4,696.38/x
  3. Step 3: Cross multiply
    6,460.56x = 8,920.53 × 4,696.38
  4. Step 4: Simplify right side
    6,460.56x = 41,894,198.68
  5. Step 5: Solve for x
    x = 41,894,198.68/6,460.56
  6. Step 6: Final answer
    x = 6,484.61

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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.