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Finding the Fourth Proportional to 9,878.80, 14,829.78 and 7,800.21

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Solution

The fourth proportional to 9,878.80, 14,829.78 and 7,800.21 is: 11,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.80 : 14,829.78 = 7,800.21 : x
  2. Step 2: Convert to fraction form
    9,878.80/14,829.78 = 7,800.21/x
  3. Step 3: Cross multiply
    9,878.80x = 14,829.78 × 7,800.21
  4. Step 4: Simplify right side
    9,878.80x = 115,675,285.10
  5. Step 5: Solve for x
    x = 115,675,285.10/9,878.80
  6. Step 6: Final answer
    x = 11,709.45

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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.