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Finding the Fourth Proportional to 6,977.94, 10,466.93 and 1,712.98

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Solution

The fourth proportional to 6,977.94, 10,466.93 and 1,712.98 is: 2,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.94 : 10,466.93 = 1,712.98 : x
  2. Step 2: Convert to fraction form
    6,977.94/10,466.93 = 1,712.98/x
  3. Step 3: Cross multiply
    6,977.94x = 10,466.93 × 1,712.98
  4. Step 4: Simplify right side
    6,977.94x = 17,929,641.75
  5. Step 5: Solve for x
    x = 17,929,641.75/6,977.94
  6. Step 6: Final answer
    x = 2,569.47

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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.