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Finding the Fourth Proportional to 9,670.70, 14,506.23 and 7,746.14

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Solution

The fourth proportional to 9,670.70, 14,506.23 and 7,746.14 is: 11,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.70 : 14,506.23 = 7,746.14 : x
  2. Step 2: Convert to fraction form
    9,670.70/14,506.23 = 7,746.14/x
  3. Step 3: Cross multiply
    9,670.70x = 14,506.23 × 7,746.14
  4. Step 4: Simplify right side
    9,670.70x = 112,367,288.45
  5. Step 5: Solve for x
    x = 112,367,288.45/9,670.70
  6. Step 6: Final answer
    x = 11,619.35

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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.