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Finding the Fourth Proportional to 9,704.94, 14,485.41 and 8,365

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Solution

The fourth proportional to 9,704.94, 14,485.41 and 8,365 is: 12,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.94 : 14,485.41 = 8,365 : x
  2. Step 2: Convert to fraction form
    9,704.94/14,485.41 = 8,365/x
  3. Step 3: Cross multiply
    9,704.94x = 14,485.41 × 8,365
  4. Step 4: Simplify right side
    9,704.94x = 121,170,412.83
  5. Step 5: Solve for x
    x = 121,170,412.83/9,704.94
  6. Step 6: Final answer
    x = 12,485.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.