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Finding the Fourth Proportional to 7,162.92, 9,885.54 and 4,809.96

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Solution

The fourth proportional to 7,162.92, 9,885.54 and 4,809.96 is: 6,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.92 : 9,885.54 = 4,809.96 : x
  2. Step 2: Convert to fraction form
    7,162.92/9,885.54 = 4,809.96/x
  3. Step 3: Cross multiply
    7,162.92x = 9,885.54 × 4,809.96
  4. Step 4: Simplify right side
    7,162.92x = 47,549,051.98
  5. Step 5: Solve for x
    x = 47,549,051.98/7,162.92
  6. Step 6: Final answer
    x = 6,638.22

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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.