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Finding the Fourth Proportional to 9,847.77, 14,784.54 and 5,852.47

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Solution

The fourth proportional to 9,847.77, 14,784.54 and 5,852.47 is: 8,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.77 : 14,784.54 = 5,852.47 : x
  2. Step 2: Convert to fraction form
    9,847.77/14,784.54 = 5,852.47/x
  3. Step 3: Cross multiply
    9,847.77x = 14,784.54 × 5,852.47
  4. Step 4: Simplify right side
    9,847.77x = 86,526,076.81
  5. Step 5: Solve for x
    x = 86,526,076.81/9,847.77
  6. Step 6: Final answer
    x = 8,786.36

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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.