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Finding the Fourth Proportional to 4,602.02, 6,902.07 and 1,314.23

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Solution

The fourth proportional to 4,602.02, 6,902.07 and 1,314.23 is: 1,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.02 : 6,902.07 = 1,314.23 : x
  2. Step 2: Convert to fraction form
    4,602.02/6,902.07 = 1,314.23/x
  3. Step 3: Cross multiply
    4,602.02x = 6,902.07 × 1,314.23
  4. Step 4: Simplify right side
    4,602.02x = 9,070,907.46
  5. Step 5: Solve for x
    x = 9,070,907.46/4,602.02
  6. Step 6: Final answer
    x = 1,971.07

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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.