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Finding the Fourth Proportional to 9,597.40, 13,244.10 and 5,871.40

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Solution

The fourth proportional to 9,597.40, 13,244.10 and 5,871.40 is: 8,102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.40 : 13,244.10 = 5,871.40 : x
  2. Step 2: Convert to fraction form
    9,597.40/13,244.10 = 5,871.40/x
  3. Step 3: Cross multiply
    9,597.40x = 13,244.10 × 5,871.40
  4. Step 4: Simplify right side
    9,597.40x = 77,761,408.74
  5. Step 5: Solve for x
    x = 77,761,408.74/9,597.40
  6. Step 6: Final answer
    x = 8,102.34

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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.