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Finding the Fourth Proportional to 9,846.77, 14,783.04 and 5,851.47

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Solution

The fourth proportional to 9,846.77, 14,783.04 and 5,851.47 is: 8,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.77 : 14,783.04 = 5,851.47 : x
  2. Step 2: Convert to fraction form
    9,846.77/14,783.04 = 5,851.47/x
  3. Step 3: Cross multiply
    9,846.77x = 14,783.04 × 5,851.47
  4. Step 4: Simplify right side
    9,846.77x = 86,502,570.51
  5. Step 5: Solve for x
    x = 86,502,570.51/9,846.77
  6. Step 6: Final answer
    x = 8,784.87

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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.