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Finding the Fourth Proportional to 9,689.34, 14,534.01 and 6,401.69

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Solution

The fourth proportional to 9,689.34, 14,534.01 and 6,401.69 is: 9,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.34 : 14,534.01 = 6,401.69 : x
  2. Step 2: Convert to fraction form
    9,689.34/14,534.01 = 6,401.69/x
  3. Step 3: Cross multiply
    9,689.34x = 14,534.01 × 6,401.69
  4. Step 4: Simplify right side
    9,689.34x = 93,042,226.48
  5. Step 5: Solve for x
    x = 93,042,226.48/9,689.34
  6. Step 6: Final answer
    x = 9,602.54

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Double scale
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Similar ratio
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1.5x scale

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.