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Finding the Fourth Proportional to 7,021.44, 9,696.78 and 5,830.74

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Solution

The fourth proportional to 7,021.44, 9,696.78 and 5,830.74 is: 8,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.44 : 9,696.78 = 5,830.74 : x
  2. Step 2: Convert to fraction form
    7,021.44/9,696.78 = 5,830.74/x
  3. Step 3: Cross multiply
    7,021.44x = 9,696.78 × 5,830.74
  4. Step 4: Simplify right side
    7,021.44x = 56,539,403.02
  5. Step 5: Solve for x
    x = 56,539,403.02/7,021.44
  6. Step 6: Final answer
    x = 8,052.39

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.