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Finding the Fourth Proportional to 9,689.40, 14,534.10 and 4,494.06

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Solution

The fourth proportional to 9,689.40, 14,534.10 and 4,494.06 is: 6,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.40 : 14,534.10 = 4,494.06 : x
  2. Step 2: Convert to fraction form
    9,689.40/14,534.10 = 4,494.06/x
  3. Step 3: Cross multiply
    9,689.40x = 14,534.10 × 4,494.06
  4. Step 4: Simplify right side
    9,689.40x = 65,317,117.45
  5. Step 5: Solve for x
    x = 65,317,117.45/9,689.40
  6. Step 6: Final answer
    x = 6,741.09

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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.