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Finding the Fourth Proportional to 3,522.02, 5,283.02 and 924.75

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Solution

The fourth proportional to 3,522.02, 5,283.02 and 924.75 is: 1,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.02 : 5,283.02 = 924.75 : x
  2. Step 2: Convert to fraction form
    3,522.02/5,283.02 = 924.75/x
  3. Step 3: Cross multiply
    3,522.02x = 5,283.02 × 924.75
  4. Step 4: Simplify right side
    3,522.02x = 4,885,475.06
  5. Step 5: Solve for x
    x = 4,885,475.06/3,522.02
  6. Step 6: Final answer
    x = 1,387.13

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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.