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Finding the Fourth Proportional to 7,014.24, 10,470.24 and 6,096.48

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Solution

The fourth proportional to 7,014.24, 10,470.24 and 6,096.48 is: 9,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.24 : 10,470.24 = 6,096.48 : x
  2. Step 2: Convert to fraction form
    7,014.24/10,470.24 = 6,096.48/x
  3. Step 3: Cross multiply
    7,014.24x = 10,470.24 × 6,096.48
  4. Step 4: Simplify right side
    7,014.24x = 63,831,608.76
  5. Step 5: Solve for x
    x = 63,831,608.76/7,014.24
  6. Step 6: Final answer
    x = 9,100.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.