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Finding the Fourth Proportional to 35,483, 53,218.38 and 10,522.76

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Solution

The fourth proportional to 35,483, 53,218.38 and 10,522.76 is: 15,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,483 : 53,218.38 = 10,522.76 : x
  2. Step 2: Convert to fraction form
    35,483/53,218.38 = 10,522.76/x
  3. Step 3: Cross multiply
    35,483x = 53,218.38 × 10,522.76
  4. Step 4: Simplify right side
    35,483x = 560,004,240.33
  5. Step 5: Solve for x
    x = 560,004,240.33/35,483
  6. Step 6: Final answer
    x = 15,782.33

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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.