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Finding the Fourth Proportional to 3,746.46, 5,619.66 and 973.14

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Solution

The fourth proportional to 3,746.46, 5,619.66 and 973.14 is: 1,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.46 : 5,619.66 = 973.14 : x
  2. Step 2: Convert to fraction form
    3,746.46/5,619.66 = 973.14/x
  3. Step 3: Cross multiply
    3,746.46x = 5,619.66 × 973.14
  4. Step 4: Simplify right side
    3,746.46x = 5,468,715.93
  5. Step 5: Solve for x
    x = 5,468,715.93/3,746.46
  6. Step 6: Final answer
    x = 1,459.70

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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.