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Finding the Fourth Proportional to 7,153.48, 9,871.14 and 4,009

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Solution

The fourth proportional to 7,153.48, 9,871.14 and 4,009 is: 5,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.48 : 9,871.14 = 4,009 : x
  2. Step 2: Convert to fraction form
    7,153.48/9,871.14 = 4,009/x
  3. Step 3: Cross multiply
    7,153.48x = 9,871.14 × 4,009
  4. Step 4: Simplify right side
    7,153.48x = 39,573,400.26
  5. Step 5: Solve for x
    x = 39,573,400.26/7,153.48
  6. Step 6: Final answer
    x = 5,532.05

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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.