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Finding the Fourth Proportional to 12,176.35, 16,803 and 6,798.94

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Solution

The fourth proportional to 12,176.35, 16,803 and 6,798.94 is: 9,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.35 : 16,803 = 6,798.94 : x
  2. Step 2: Convert to fraction form
    12,176.35/16,803 = 6,798.94/x
  3. Step 3: Cross multiply
    12,176.35x = 16,803 × 6,798.94
  4. Step 4: Simplify right side
    12,176.35x = 114,242,588.82
  5. Step 5: Solve for x
    x = 114,242,588.82/12,176.35
  6. Step 6: Final answer
    x = 9,382.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.