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Finding the Fourth Proportional to 6,970.98, 10,457.52 and 2,040

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Solution

The fourth proportional to 6,970.98, 10,457.52 and 2,040 is: 3,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.98 : 10,457.52 = 2,040 : x
  2. Step 2: Convert to fraction form
    6,970.98/10,457.52 = 2,040/x
  3. Step 3: Cross multiply
    6,970.98x = 10,457.52 × 2,040
  4. Step 4: Simplify right side
    6,970.98x = 21,333,340.80
  5. Step 5: Solve for x
    x = 21,333,340.80/6,970.98
  6. Step 6: Final answer
    x = 3,060.31

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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.