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Finding the Fourth Proportional to 7,151.10, 10,705.05 and 6,287.10

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Solution

The fourth proportional to 7,151.10, 10,705.05 and 6,287.10 is: 9,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.10 : 10,705.05 = 6,287.10 : x
  2. Step 2: Convert to fraction form
    7,151.10/10,705.05 = 6,287.10/x
  3. Step 3: Cross multiply
    7,151.10x = 10,705.05 × 6,287.10
  4. Step 4: Simplify right side
    7,151.10x = 67,303,719.86
  5. Step 5: Solve for x
    x = 67,303,719.86/7,151.10
  6. Step 6: Final answer
    x = 9,411.66

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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.