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Finding the Fourth Proportional to 4,970.74, 6,862.02 and 4,570.44

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Solution

The fourth proportional to 4,970.74, 6,862.02 and 4,570.44 is: 6,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.74 : 6,862.02 = 4,570.44 : x
  2. Step 2: Convert to fraction form
    4,970.74/6,862.02 = 4,570.44/x
  3. Step 3: Cross multiply
    4,970.74x = 6,862.02 × 4,570.44
  4. Step 4: Simplify right side
    4,970.74x = 31,362,450.69
  5. Step 5: Solve for x
    x = 31,362,450.69/4,970.74
  6. Step 6: Final answer
    x = 6,309.41

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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.