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Finding the Fourth Proportional to 6,877.54, 9,466.50 and 5,746.06

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Solution

The fourth proportional to 6,877.54, 9,466.50 and 5,746.06 is: 7,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.54 : 9,466.50 = 5,746.06 : x
  2. Step 2: Convert to fraction form
    6,877.54/9,466.50 = 5,746.06/x
  3. Step 3: Cross multiply
    6,877.54x = 9,466.50 × 5,746.06
  4. Step 4: Simplify right side
    6,877.54x = 54,395,076.99
  5. Step 5: Solve for x
    x = 54,395,076.99/6,877.54
  6. Step 6: Final answer
    x = 7,909.09

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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.