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Finding the Fourth Proportional to 4,693.74, 7,038.48 and 1,769.97

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Solution

The fourth proportional to 4,693.74, 7,038.48 and 1,769.97 is: 2,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.74 : 7,038.48 = 1,769.97 : x
  2. Step 2: Convert to fraction form
    4,693.74/7,038.48 = 1,769.97/x
  3. Step 3: Cross multiply
    4,693.74x = 7,038.48 × 1,769.97
  4. Step 4: Simplify right side
    4,693.74x = 12,457,898.45
  5. Step 5: Solve for x
    x = 12,457,898.45/4,693.74
  6. Step 6: Final answer
    x = 2,654.15

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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.