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Finding the Fourth Proportional to 7,014.34, 10,502.34 and 6,828.46

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Solution

The fourth proportional to 7,014.34, 10,502.34 and 6,828.46 is: 10,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.34 : 10,502.34 = 6,828.46 : x
  2. Step 2: Convert to fraction form
    7,014.34/10,502.34 = 6,828.46/x
  3. Step 3: Cross multiply
    7,014.34x = 10,502.34 × 6,828.46
  4. Step 4: Simplify right side
    7,014.34x = 71,714,808.60
  5. Step 5: Solve for x
    x = 71,714,808.60/7,014.34
  6. Step 6: Final answer
    x = 10,224.03

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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.