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Finding the Fourth Proportional to 7,009.84, 9,665.58 and 5,238.46

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Solution

The fourth proportional to 7,009.84, 9,665.58 and 5,238.46 is: 7,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.84 : 9,665.58 = 5,238.46 : x
  2. Step 2: Convert to fraction form
    7,009.84/9,665.58 = 5,238.46/x
  3. Step 3: Cross multiply
    7,009.84x = 9,665.58 × 5,238.46
  4. Step 4: Simplify right side
    7,009.84x = 50,632,754.21
  5. Step 5: Solve for x
    x = 50,632,754.21/7,009.84
  6. Step 6: Final answer
    x = 7,223.10

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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.