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Finding the Fourth Proportional to 9,711.96, 14,567.94 and 4,515

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Solution

The fourth proportional to 9,711.96, 14,567.94 and 4,515 is: 6,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.96 : 14,567.94 = 4,515 : x
  2. Step 2: Convert to fraction form
    9,711.96/14,567.94 = 4,515/x
  3. Step 3: Cross multiply
    9,711.96x = 14,567.94 × 4,515
  4. Step 4: Simplify right side
    9,711.96x = 65,774,249.10
  5. Step 5: Solve for x
    x = 65,774,249.10/9,711.96
  6. Step 6: Final answer
    x = 6,772.50

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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.