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Finding the Fourth Proportional to 5,070.48, 7,609.11 and 1,783.54

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Solution

The fourth proportional to 5,070.48, 7,609.11 and 1,783.54 is: 2,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.48 : 7,609.11 = 1,783.54 : x
  2. Step 2: Convert to fraction form
    5,070.48/7,609.11 = 1,783.54/x
  3. Step 3: Cross multiply
    5,070.48x = 7,609.11 × 1,783.54
  4. Step 4: Simplify right side
    5,070.48x = 13,571,152.05
  5. Step 5: Solve for x
    x = 13,571,152.05/5,070.48
  6. Step 6: Final answer
    x = 2,676.50

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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.