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Finding the Fourth Proportional to 10,007.96, 13,796.34 and 7,014.76

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Solution

The fourth proportional to 10,007.96, 13,796.34 and 7,014.76 is: 9,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.96 : 13,796.34 = 7,014.76 : x
  2. Step 2: Convert to fraction form
    10,007.96/13,796.34 = 7,014.76/x
  3. Step 3: Cross multiply
    10,007.96x = 13,796.34 × 7,014.76
  4. Step 4: Simplify right side
    10,007.96x = 96,778,013.98
  5. Step 5: Solve for x
    x = 96,778,013.98/10,007.96
  6. Step 6: Final answer
    x = 9,670.10

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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.