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Finding the Fourth Proportional to 14,280.91, 19,710.00 and 9,800.98

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Solution

The fourth proportional to 14,280.91, 19,710.00 and 9,800.98 is: 13,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280.91 : 19,710.00 = 9,800.98 : x
  2. Step 2: Convert to fraction form
    14,280.91/19,710.00 = 9,800.98/x
  3. Step 3: Cross multiply
    14,280.91x = 19,710.00 × 9,800.98
  4. Step 4: Simplify right side
    14,280.91x = 193,177,266.80
  5. Step 5: Solve for x
    x = 193,177,266.80/14,280.91
  6. Step 6: Final answer
    x = 13,526.96

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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.