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Finding the Fourth Proportional to 6,358.34, 9,534.87 and 2,460.50

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Solution

The fourth proportional to 6,358.34, 9,534.87 and 2,460.50 is: 3,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.34 : 9,534.87 = 2,460.50 : x
  2. Step 2: Convert to fraction form
    6,358.34/9,534.87 = 2,460.50/x
  3. Step 3: Cross multiply
    6,358.34x = 9,534.87 × 2,460.50
  4. Step 4: Simplify right side
    6,358.34x = 23,460,547.64
  5. Step 5: Solve for x
    x = 23,460,547.64/6,358.34
  6. Step 6: Final answer
    x = 3,689.73

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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.