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Finding the Fourth Proportional to 4,875.16, 7,311.66 and 1,952.68

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Solution

The fourth proportional to 4,875.16, 7,311.66 and 1,952.68 is: 2,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.16 : 7,311.66 = 1,952.68 : x
  2. Step 2: Convert to fraction form
    4,875.16/7,311.66 = 1,952.68/x
  3. Step 3: Cross multiply
    4,875.16x = 7,311.66 × 1,952.68
  4. Step 4: Simplify right side
    4,875.16x = 14,277,332.25
  5. Step 5: Solve for x
    x = 14,277,332.25/4,875.16
  6. Step 6: Final answer
    x = 2,928.59

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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.