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Finding the Fourth Proportional to 3,746.57, 5,619.86 and 973.01

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Solution

The fourth proportional to 3,746.57, 5,619.86 and 973.01 is: 1,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.57 : 5,619.86 = 973.01 : x
  2. Step 2: Convert to fraction form
    3,746.57/5,619.86 = 973.01/x
  3. Step 3: Cross multiply
    3,746.57x = 5,619.86 × 973.01
  4. Step 4: Simplify right side
    3,746.57x = 5,468,147.01
  5. Step 5: Solve for x
    x = 5,468,147.01/3,746.57
  6. Step 6: Final answer
    x = 1,459.51

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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.