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Finding the Fourth Proportional to 5,656.43, 7,804.29 and 4,457.70

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Solution

The fourth proportional to 5,656.43, 7,804.29 and 4,457.70 is: 6,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.43 : 7,804.29 = 4,457.70 : x
  2. Step 2: Convert to fraction form
    5,656.43/7,804.29 = 4,457.70/x
  3. Step 3: Cross multiply
    5,656.43x = 7,804.29 × 4,457.70
  4. Step 4: Simplify right side
    5,656.43x = 34,789,183.53
  5. Step 5: Solve for x
    x = 34,789,183.53/5,656.43
  6. Step 6: Final answer
    x = 6,150.38

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Half scale
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Double scale
Find fourth proportional to 5,657.43, 7,805.67 and 4,458.70
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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.