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Finding the Fourth Proportional to 6,875.46, 9,488.94 and 5,754.42

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Solution

The fourth proportional to 6,875.46, 9,488.94 and 5,754.42 is: 7,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.46 : 9,488.94 = 5,754.42 : x
  2. Step 2: Convert to fraction form
    6,875.46/9,488.94 = 5,754.42/x
  3. Step 3: Cross multiply
    6,875.46x = 9,488.94 × 5,754.42
  4. Step 4: Simplify right side
    6,875.46x = 54,603,346.11
  5. Step 5: Solve for x
    x = 54,603,346.11/6,875.46
  6. Step 6: Final answer
    x = 7,941.77

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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.