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Finding the Fourth Proportional to 35,468.88, 53,202.96 and 10,509.12

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Solution

The fourth proportional to 35,468.88, 53,202.96 and 10,509.12 is: 15,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468.88 : 53,202.96 = 10,509.12 : x
  2. Step 2: Convert to fraction form
    35,468.88/53,202.96 = 10,509.12/x
  3. Step 3: Cross multiply
    35,468.88x = 53,202.96 × 10,509.12
  4. Step 4: Simplify right side
    35,468.88x = 559,116,291.00
  5. Step 5: Solve for x
    x = 559,116,291.00/35,468.88
  6. Step 6: Final answer
    x = 15,763.57

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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.