Home / 4,648.72-6,971.64-1,570

Finding the Fourth Proportional to 4,648.72, 6,971.64 and 1,570

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Solution

The fourth proportional to 4,648.72, 6,971.64 and 1,570 is: 2,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.72 : 6,971.64 = 1,570 : x
  2. Step 2: Convert to fraction form
    4,648.72/6,971.64 = 1,570/x
  3. Step 3: Cross multiply
    4,648.72x = 6,971.64 × 1,570
  4. Step 4: Simplify right side
    4,648.72x = 10,945,474.80
  5. Step 5: Solve for x
    x = 10,945,474.80/4,648.72
  6. Step 6: Final answer
    x = 2,354.51

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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.