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Finding the Fourth Proportional to 8,465.16, 11,682.05 and 4,880.06

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Solution

The fourth proportional to 8,465.16, 11,682.05 and 4,880.06 is: 6,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.16 : 11,682.05 = 4,880.06 : x
  2. Step 2: Convert to fraction form
    8,465.16/11,682.05 = 4,880.06/x
  3. Step 3: Cross multiply
    8,465.16x = 11,682.05 × 4,880.06
  4. Step 4: Simplify right side
    8,465.16x = 57,009,046.79
  5. Step 5: Solve for x
    x = 57,009,046.79/8,465.16
  6. Step 6: Final answer
    x = 6,734.55

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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.