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Finding the Fourth Proportional to 9,897.94, 14,845.47 and 3,740.50

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Solution

The fourth proportional to 9,897.94, 14,845.47 and 3,740.50 is: 5,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.94 : 14,845.47 = 3,740.50 : x
  2. Step 2: Convert to fraction form
    9,897.94/14,845.47 = 3,740.50/x
  3. Step 3: Cross multiply
    9,897.94x = 14,845.47 × 3,740.50
  4. Step 4: Simplify right side
    9,897.94x = 55,529,480.54
  5. Step 5: Solve for x
    x = 55,529,480.54/9,897.94
  6. Step 6: Final answer
    x = 5,610.21

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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.