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Finding the Fourth Proportional to 35,897.54, 53,848.12 and 13,712.84

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Solution

The fourth proportional to 35,897.54, 53,848.12 and 13,712.84 is: 20,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.54 : 53,848.12 = 13,712.84 : x
  2. Step 2: Convert to fraction form
    35,897.54/53,848.12 = 13,712.84/x
  3. Step 3: Cross multiply
    35,897.54x = 53,848.12 × 13,712.84
  4. Step 4: Simplify right side
    35,897.54x = 738,410,653.86
  5. Step 5: Solve for x
    x = 738,410,653.86/35,897.54
  6. Step 6: Final answer
    x = 20,569.95

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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.