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Finding the Fourth Proportional to 8,312.63, 11,471.42 and 4,586.63

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Solution

The fourth proportional to 8,312.63, 11,471.42 and 4,586.63 is: 6,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.63 : 11,471.42 = 4,586.63 : x
  2. Step 2: Convert to fraction form
    8,312.63/11,471.42 = 4,586.63/x
  3. Step 3: Cross multiply
    8,312.63x = 11,471.42 × 4,586.63
  4. Step 4: Simplify right side
    8,312.63x = 52,615,113.22
  5. Step 5: Solve for x
    x = 52,615,113.22/8,312.63
  6. Step 6: Final answer
    x = 6,329.54

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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.