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Finding the Fourth Proportional to 7,153.83, 9,871.75 and 4,009.41

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Solution

The fourth proportional to 7,153.83, 9,871.75 and 4,009.41 is: 5,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.83 : 9,871.75 = 4,009.41 : x
  2. Step 2: Convert to fraction form
    7,153.83/9,871.75 = 4,009.41/x
  3. Step 3: Cross multiply
    7,153.83x = 9,871.75 × 4,009.41
  4. Step 4: Simplify right side
    7,153.83x = 39,579,883.14
  5. Step 5: Solve for x
    x = 39,579,883.14/7,153.83
  6. Step 6: Final answer
    x = 5,532.68

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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.