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Finding the Fourth Proportional to 6,448.13, 9,671.65 and 4,566.24

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Solution

The fourth proportional to 6,448.13, 9,671.65 and 4,566.24 is: 6,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.13 : 9,671.65 = 4,566.24 : x
  2. Step 2: Convert to fraction form
    6,448.13/9,671.65 = 4,566.24/x
  3. Step 3: Cross multiply
    6,448.13x = 9,671.65 × 4,566.24
  4. Step 4: Simplify right side
    6,448.13x = 44,163,052.26
  5. Step 5: Solve for x
    x = 44,163,052.26/6,448.13
  6. Step 6: Final answer
    x = 6,848.98

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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.