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Finding the Fourth Proportional to 7,470.01, 10,307.01 and 5,902.66

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Solution

The fourth proportional to 7,470.01, 10,307.01 and 5,902.66 is: 8,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.01 : 10,307.01 = 5,902.66 : x
  2. Step 2: Convert to fraction form
    7,470.01/10,307.01 = 5,902.66/x
  3. Step 3: Cross multiply
    7,470.01x = 10,307.01 × 5,902.66
  4. Step 4: Simplify right side
    7,470.01x = 60,838,775.65
  5. Step 5: Solve for x
    x = 60,838,775.65/7,470.01
  6. Step 6: Final answer
    x = 8,144.40

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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.