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Finding the Fourth Proportional to 6,164.64, 9,240.48 and 4,216.32

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Solution

The fourth proportional to 6,164.64, 9,240.48 and 4,216.32 is: 6,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.64 : 9,240.48 = 4,216.32 : x
  2. Step 2: Convert to fraction form
    6,164.64/9,240.48 = 4,216.32/x
  3. Step 3: Cross multiply
    6,164.64x = 9,240.48 × 4,216.32
  4. Step 4: Simplify right side
    6,164.64x = 38,960,820.63
  5. Step 5: Solve for x
    x = 38,960,820.63/6,164.64
  6. Step 6: Final answer
    x = 6,320.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.