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Finding the Fourth Proportional to 4,648, 6,973.08 and 1,570

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Solution

The fourth proportional to 4,648, 6,973.08 and 1,570 is: 2,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648 : 6,973.08 = 1,570 : x
  2. Step 2: Convert to fraction form
    4,648/6,973.08 = 1,570/x
  3. Step 3: Cross multiply
    4,648x = 6,973.08 × 1,570
  4. Step 4: Simplify right side
    4,648x = 10,947,735.60
  5. Step 5: Solve for x
    x = 10,947,735.60/4,648
  6. Step 6: Final answer
    x = 2,355.36

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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.