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Finding the Fourth Proportional to 3,164.58, 4,746.60 and 973.80

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Solution

The fourth proportional to 3,164.58, 4,746.60 and 973.80 is: 1,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.58 : 4,746.60 = 973.80 : x
  2. Step 2: Convert to fraction form
    3,164.58/4,746.60 = 973.80/x
  3. Step 3: Cross multiply
    3,164.58x = 4,746.60 × 973.80
  4. Step 4: Simplify right side
    3,164.58x = 4,622,239.08
  5. Step 5: Solve for x
    x = 4,622,239.08/3,164.58
  6. Step 6: Final answer
    x = 1,460.62

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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.