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Finding the Fourth Proportional to 9,852.63, 14,778.94 and 2,927.13

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Solution

The fourth proportional to 9,852.63, 14,778.94 and 2,927.13 is: 4,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.63 : 14,778.94 = 2,927.13 : x
  2. Step 2: Convert to fraction form
    9,852.63/14,778.94 = 2,927.13/x
  3. Step 3: Cross multiply
    9,852.63x = 14,778.94 × 2,927.13
  4. Step 4: Simplify right side
    9,852.63x = 43,259,878.64
  5. Step 5: Solve for x
    x = 43,259,878.64/9,852.63
  6. Step 6: Final answer
    x = 4,390.69

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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.