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Finding the Fourth Proportional to 8,448.25, 11,660.01 and 4,913.50

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Solution

The fourth proportional to 8,448.25, 11,660.01 and 4,913.50 is: 6,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448.25 : 11,660.01 = 4,913.50 : x
  2. Step 2: Convert to fraction form
    8,448.25/11,660.01 = 4,913.50/x
  3. Step 3: Cross multiply
    8,448.25x = 11,660.01 × 4,913.50
  4. Step 4: Simplify right side
    8,448.25x = 57,291,459.14
  5. Step 5: Solve for x
    x = 57,291,459.14/8,448.25
  6. Step 6: Final answer
    x = 6,781.46

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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.