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Finding the Fourth Proportional to 10,365.62, 15,536.25 and 4,807.25

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Solution

The fourth proportional to 10,365.62, 15,536.25 and 4,807.25 is: 7,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.62 : 15,536.25 = 4,807.25 : x
  2. Step 2: Convert to fraction form
    10,365.62/15,536.25 = 4,807.25/x
  3. Step 3: Cross multiply
    10,365.62x = 15,536.25 × 4,807.25
  4. Step 4: Simplify right side
    10,365.62x = 74,686,705.78
  5. Step 5: Solve for x
    x = 74,686,705.78/10,365.62
  6. Step 6: Final answer
    x = 7,205.24

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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.