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Finding the Fourth Proportional to 7,502.76, 10,353.80 and 4,190.76

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Solution

The fourth proportional to 7,502.76, 10,353.80 and 4,190.76 is: 5,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.76 : 10,353.80 = 4,190.76 : x
  2. Step 2: Convert to fraction form
    7,502.76/10,353.80 = 4,190.76/x
  3. Step 3: Cross multiply
    7,502.76x = 10,353.80 × 4,190.76
  4. Step 4: Simplify right side
    7,502.76x = 43,390,290.89
  5. Step 5: Solve for x
    x = 43,390,290.89/7,502.76
  6. Step 6: Final answer
    x = 5,783.24

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Half scale
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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.