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Finding the Fourth Proportional to 7,153.92, 9,871.88 and 4,009.50

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Solution

The fourth proportional to 7,153.92, 9,871.88 and 4,009.50 is: 5,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.92 : 9,871.88 = 4,009.50 : x
  2. Step 2: Convert to fraction form
    7,153.92/9,871.88 = 4,009.50/x
  3. Step 3: Cross multiply
    7,153.92x = 9,871.88 × 4,009.50
  4. Step 4: Simplify right side
    7,153.92x = 39,581,282.81
  5. Step 5: Solve for x
    x = 39,581,282.81/7,153.92
  6. Step 6: Final answer
    x = 5,532.81

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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.