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Finding the Fourth Proportional to 19,705.40, 29,560.80 and 6,556.40

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Solution

The fourth proportional to 19,705.40, 29,560.80 and 6,556.40 is: 9,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.40 : 29,560.80 = 6,556.40 : x
  2. Step 2: Convert to fraction form
    19,705.40/29,560.80 = 6,556.40/x
  3. Step 3: Cross multiply
    19,705.40x = 29,560.80 × 6,556.40
  4. Step 4: Simplify right side
    19,705.40x = 193,812,429.12
  5. Step 5: Solve for x
    x = 193,812,429.12/19,705.40
  6. Step 6: Final answer
    x = 9,835.50

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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.