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Finding the Fourth Proportional to 7,232.64, 9,982.74 and 4,710.39

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Solution

The fourth proportional to 7,232.64, 9,982.74 and 4,710.39 is: 6,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.64 : 9,982.74 = 4,710.39 : x
  2. Step 2: Convert to fraction form
    7,232.64/9,982.74 = 4,710.39/x
  3. Step 3: Cross multiply
    7,232.64x = 9,982.74 × 4,710.39
  4. Step 4: Simplify right side
    7,232.64x = 47,022,598.67
  5. Step 5: Solve for x
    x = 47,022,598.67/7,232.64
  6. Step 6: Final answer
    x = 6,501.44

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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.