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Finding the Fourth Proportional to 3,164.66, 4,746.99 and 973.34

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Solution

The fourth proportional to 3,164.66, 4,746.99 and 973.34 is: 1,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.66 : 4,746.99 = 973.34 : x
  2. Step 2: Convert to fraction form
    3,164.66/4,746.99 = 973.34/x
  3. Step 3: Cross multiply
    3,164.66x = 4,746.99 × 973.34
  4. Step 4: Simplify right side
    3,164.66x = 4,620,435.25
  5. Step 5: Solve for x
    x = 4,620,435.25/3,164.66
  6. Step 6: Final answer
    x = 1,460.01

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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.