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Finding the Fourth Proportional to 35,513, 53,269.92 and 9,216.14

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Solution

The fourth proportional to 35,513, 53,269.92 and 9,216.14 is: 13,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513 : 53,269.92 = 9,216.14 : x
  2. Step 2: Convert to fraction form
    35,513/53,269.92 = 9,216.14/x
  3. Step 3: Cross multiply
    35,513x = 53,269.92 × 9,216.14
  4. Step 4: Simplify right side
    35,513x = 490,943,040.51
  5. Step 5: Solve for x
    x = 490,943,040.51/35,513
  6. Step 6: Final answer
    x = 13,824.32

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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.