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Finding the Fourth Proportional to 5,969.64, 8,902.34 and 5,232.66

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Solution

The fourth proportional to 5,969.64, 8,902.34 and 5,232.66 is: 7,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.64 : 8,902.34 = 5,232.66 : x
  2. Step 2: Convert to fraction form
    5,969.64/8,902.34 = 5,232.66/x
  3. Step 3: Cross multiply
    5,969.64x = 8,902.34 × 5,232.66
  4. Step 4: Simplify right side
    5,969.64x = 46,582,963.17
  5. Step 5: Solve for x
    x = 46,582,963.17/5,969.64
  6. Step 6: Final answer
    x = 7,803.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.