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Finding the Fourth Proportional to 6,415.46, 9,624 and 2,031.35

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Solution

The fourth proportional to 6,415.46, 9,624 and 2,031.35 is: 3,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.46 : 9,624 = 2,031.35 : x
  2. Step 2: Convert to fraction form
    6,415.46/9,624 = 2,031.35/x
  3. Step 3: Cross multiply
    6,415.46x = 9,624 × 2,031.35
  4. Step 4: Simplify right side
    6,415.46x = 19,549,712.40
  5. Step 5: Solve for x
    x = 19,549,712.40/6,415.46
  6. Step 6: Final answer
    x = 3,047.28

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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.