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Finding the Fourth Proportional to 6,347.70, 8,767.12 and 4,852.28

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Solution

The fourth proportional to 6,347.70, 8,767.12 and 4,852.28 is: 6,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.70 : 8,767.12 = 4,852.28 : x
  2. Step 2: Convert to fraction form
    6,347.70/8,767.12 = 4,852.28/x
  3. Step 3: Cross multiply
    6,347.70x = 8,767.12 × 4,852.28
  4. Step 4: Simplify right side
    6,347.70x = 42,540,521.03
  5. Step 5: Solve for x
    x = 42,540,521.03/6,347.70
  6. Step 6: Final answer
    x = 6,701.72

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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.