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Finding the Fourth Proportional to 19,870.80, 29,806.20 and 9,502.80

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Solution

The fourth proportional to 19,870.80, 29,806.20 and 9,502.80 is: 14,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.80 : 29,806.20 = 9,502.80 : x
  2. Step 2: Convert to fraction form
    19,870.80/29,806.20 = 9,502.80/x
  3. Step 3: Cross multiply
    19,870.80x = 29,806.20 × 9,502.80
  4. Step 4: Simplify right side
    19,870.80x = 283,242,357.36
  5. Step 5: Solve for x
    x = 283,242,357.36/19,870.80
  6. Step 6: Final answer
    x = 14,254.20

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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.