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Finding the Fourth Proportional to 1,473.96, 2,210.94 and 500.10

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Solution

The fourth proportional to 1,473.96, 2,210.94 and 500.10 is: 750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.96 : 2,210.94 = 500.10 : x
  2. Step 2: Convert to fraction form
    1,473.96/2,210.94 = 500.10/x
  3. Step 3: Cross multiply
    1,473.96x = 2,210.94 × 500.10
  4. Step 4: Simplify right side
    1,473.96x = 1,105,691.09
  5. Step 5: Solve for x
    x = 1,105,691.09/1,473.96
  6. Step 6: Final answer
    x = 750.15

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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.