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Finding the Fourth Proportional to 6,710.90, 10,068.17 and 4,775.40

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Solution

The fourth proportional to 6,710.90, 10,068.17 and 4,775.40 is: 7,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.90 : 10,068.17 = 4,775.40 : x
  2. Step 2: Convert to fraction form
    6,710.90/10,068.17 = 4,775.40/x
  3. Step 3: Cross multiply
    6,710.90x = 10,068.17 × 4,775.40
  4. Step 4: Simplify right side
    6,710.90x = 48,079,515.14
  5. Step 5: Solve for x
    x = 48,079,515.14/6,710.90
  6. Step 6: Final answer
    x = 7,164.40

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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.