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Finding the Fourth Proportional to 6,745.92, 10,075.20 and 6,701.76

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Solution

The fourth proportional to 6,745.92, 10,075.20 and 6,701.76 is: 10,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.92 : 10,075.20 = 6,701.76 : x
  2. Step 2: Convert to fraction form
    6,745.92/10,075.20 = 6,701.76/x
  3. Step 3: Cross multiply
    6,745.92x = 10,075.20 × 6,701.76
  4. Step 4: Simplify right side
    6,745.92x = 67,521,572.35
  5. Step 5: Solve for x
    x = 67,521,572.35/6,745.92
  6. Step 6: Final answer
    x = 10,009.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.