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Finding the Fourth Proportional to 3,115.74, 4,673.70 and 924.60

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Solution

The fourth proportional to 3,115.74, 4,673.70 and 924.60 is: 1,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.74 : 4,673.70 = 924.60 : x
  2. Step 2: Convert to fraction form
    3,115.74/4,673.70 = 924.60/x
  3. Step 3: Cross multiply
    3,115.74x = 4,673.70 × 924.60
  4. Step 4: Simplify right side
    3,115.74x = 4,321,303.02
  5. Step 5: Solve for x
    x = 4,321,303.02/3,115.74
  6. Step 6: Final answer
    x = 1,386.93

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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.