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Finding the Fourth Proportional to 7,101.36, 9,798.12 and 3,956.76

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Solution

The fourth proportional to 7,101.36, 9,798.12 and 3,956.76 is: 5,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.36 : 9,798.12 = 3,956.76 : x
  2. Step 2: Convert to fraction form
    7,101.36/9,798.12 = 3,956.76/x
  3. Step 3: Cross multiply
    7,101.36x = 9,798.12 × 3,956.76
  4. Step 4: Simplify right side
    7,101.36x = 38,768,809.29
  5. Step 5: Solve for x
    x = 38,768,809.29/7,101.36
  6. Step 6: Final answer
    x = 5,459.35

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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.