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Finding the Fourth Proportional to 4,965.81, 7,448.91 and 1,503.06

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Solution

The fourth proportional to 4,965.81, 7,448.91 and 1,503.06 is: 2,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.81 : 7,448.91 = 1,503.06 : x
  2. Step 2: Convert to fraction form
    4,965.81/7,448.91 = 1,503.06/x
  3. Step 3: Cross multiply
    4,965.81x = 7,448.91 × 1,503.06
  4. Step 4: Simplify right side
    4,965.81x = 11,196,158.66
  5. Step 5: Solve for x
    x = 11,196,158.66/4,965.81
  6. Step 6: Final answer
    x = 2,254.65

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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.