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Finding the Fourth Proportional to 9,701.34, 13,388.01 and 7,579.32

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Solution

The fourth proportional to 9,701.34, 13,388.01 and 7,579.32 is: 10,459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.34 : 13,388.01 = 7,579.32 : x
  2. Step 2: Convert to fraction form
    9,701.34/13,388.01 = 7,579.32/x
  3. Step 3: Cross multiply
    9,701.34x = 13,388.01 × 7,579.32
  4. Step 4: Simplify right side
    9,701.34x = 101,472,011.95
  5. Step 5: Solve for x
    x = 101,472,011.95/9,701.34
  6. Step 6: Final answer
    x = 10,459.59

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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.