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Finding the Fourth Proportional to 6,956.34, 10,434.24 and 1,762.17

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Solution

The fourth proportional to 6,956.34, 10,434.24 and 1,762.17 is: 2,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.34 : 10,434.24 = 1,762.17 : x
  2. Step 2: Convert to fraction form
    6,956.34/10,434.24 = 1,762.17/x
  3. Step 3: Cross multiply
    6,956.34x = 10,434.24 × 1,762.17
  4. Step 4: Simplify right side
    6,956.34x = 18,386,904.70
  5. Step 5: Solve for x
    x = 18,386,904.70/6,956.34
  6. Step 6: Final answer
    x = 2,643.19

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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.