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Finding the Fourth Proportional to 4,934.06, 7,430.64 and 4,158.90

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Solution

The fourth proportional to 4,934.06, 7,430.64 and 4,158.90 is: 6,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.06 : 7,430.64 = 4,158.90 : x
  2. Step 2: Convert to fraction form
    4,934.06/7,430.64 = 4,158.90/x
  3. Step 3: Cross multiply
    4,934.06x = 7,430.64 × 4,158.90
  4. Step 4: Simplify right side
    4,934.06x = 30,903,288.70
  5. Step 5: Solve for x
    x = 30,903,288.70/4,934.06
  6. Step 6: Final answer
    x = 6,263.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.