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Finding the Fourth Proportional to 5,503.84, 7,614.99 and 4,807.24

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Solution

The fourth proportional to 5,503.84, 7,614.99 and 4,807.24 is: 6,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.84 : 7,614.99 = 4,807.24 : x
  2. Step 2: Convert to fraction form
    5,503.84/7,614.99 = 4,807.24/x
  3. Step 3: Cross multiply
    5,503.84x = 7,614.99 × 4,807.24
  4. Step 4: Simplify right side
    5,503.84x = 36,607,065.49
  5. Step 5: Solve for x
    x = 36,607,065.49/5,503.84
  6. Step 6: Final answer
    x = 6,651.19

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.