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Finding the Fourth Proportional to 9,707.96, 14,561.94 and 4,511

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Solution

The fourth proportional to 9,707.96, 14,561.94 and 4,511 is: 6,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.96 : 14,561.94 = 4,511 : x
  2. Step 2: Convert to fraction form
    9,707.96/14,561.94 = 4,511/x
  3. Step 3: Cross multiply
    9,707.96x = 14,561.94 × 4,511
  4. Step 4: Simplify right side
    9,707.96x = 65,688,911.34
  5. Step 5: Solve for x
    x = 65,688,911.34/9,707.96
  6. Step 6: Final answer
    x = 6,766.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.