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Finding the Fourth Proportional to 7,969.59, 10,997.64 and 4,432.05

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Solution

The fourth proportional to 7,969.59, 10,997.64 and 4,432.05 is: 6,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.59 : 10,997.64 = 4,432.05 : x
  2. Step 2: Convert to fraction form
    7,969.59/10,997.64 = 4,432.05/x
  3. Step 3: Cross multiply
    7,969.59x = 10,997.64 × 4,432.05
  4. Step 4: Simplify right side
    7,969.59x = 48,742,090.36
  5. Step 5: Solve for x
    x = 48,742,090.36/7,969.59
  6. Step 6: Final answer
    x = 6,116.01

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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.