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Finding the Fourth Proportional to 10,697.96, 14,762.64 and 6,221

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Solution

The fourth proportional to 10,697.96, 14,762.64 and 6,221 is: 8,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.96 : 14,762.64 = 6,221 : x
  2. Step 2: Convert to fraction form
    10,697.96/14,762.64 = 6,221/x
  3. Step 3: Cross multiply
    10,697.96x = 14,762.64 × 6,221
  4. Step 4: Simplify right side
    10,697.96x = 91,838,383.44
  5. Step 5: Solve for x
    x = 91,838,383.44/10,697.96
  6. Step 6: Final answer
    x = 8,584.66

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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.