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Finding the Fourth Proportional to 7,470.93, 10,310.18 and 4,114.07

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Solution

The fourth proportional to 7,470.93, 10,310.18 and 4,114.07 is: 5,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.93 : 10,310.18 = 4,114.07 : x
  2. Step 2: Convert to fraction form
    7,470.93/10,310.18 = 4,114.07/x
  3. Step 3: Cross multiply
    7,470.93x = 10,310.18 × 4,114.07
  4. Step 4: Simplify right side
    7,470.93x = 42,416,730.11
  5. Step 5: Solve for x
    x = 42,416,730.11/7,470.93
  6. Step 6: Final answer
    x = 5,677.57

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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.