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Finding the Fourth Proportional to 9,659.16, 14,488.74 and 5,274.22

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Solution

The fourth proportional to 9,659.16, 14,488.74 and 5,274.22 is: 7,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.16 : 14,488.74 = 5,274.22 : x
  2. Step 2: Convert to fraction form
    9,659.16/14,488.74 = 5,274.22/x
  3. Step 3: Cross multiply
    9,659.16x = 14,488.74 × 5,274.22
  4. Step 4: Simplify right side
    9,659.16x = 76,416,802.28
  5. Step 5: Solve for x
    x = 76,416,802.28/9,659.16
  6. Step 6: Final answer
    x = 7,911.33

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Half scale
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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.