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Finding the Fourth Proportional to 10,697.56, 14,749.14 and 6,914.32

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Solution

The fourth proportional to 10,697.56, 14,749.14 and 6,914.32 is: 9,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.56 : 14,749.14 = 6,914.32 : x
  2. Step 2: Convert to fraction form
    10,697.56/14,749.14 = 6,914.32/x
  3. Step 3: Cross multiply
    10,697.56x = 14,749.14 × 6,914.32
  4. Step 4: Simplify right side
    10,697.56x = 101,980,273.68
  5. Step 5: Solve for x
    x = 101,980,273.68/10,697.56
  6. Step 6: Final answer
    x = 9,533.04

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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.