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Finding the Fourth Proportional to 4,713.59, 7,064.28 and 1,937.12

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Solution

The fourth proportional to 4,713.59, 7,064.28 and 1,937.12 is: 2,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.59 : 7,064.28 = 1,937.12 : x
  2. Step 2: Convert to fraction form
    4,713.59/7,064.28 = 1,937.12/x
  3. Step 3: Cross multiply
    4,713.59x = 7,064.28 × 1,937.12
  4. Step 4: Simplify right side
    4,713.59x = 13,684,358.07
  5. Step 5: Solve for x
    x = 13,684,358.07/4,713.59
  6. Step 6: Final answer
    x = 2,903.17

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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.