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Finding the Fourth Proportional to 12,830.40, 19,244.96 and 6,998.40

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Solution

The fourth proportional to 12,830.40, 19,244.96 and 6,998.40 is: 10,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.40 : 19,244.96 = 6,998.40 : x
  2. Step 2: Convert to fraction form
    12,830.40/19,244.96 = 6,998.40/x
  3. Step 3: Cross multiply
    12,830.40x = 19,244.96 × 6,998.40
  4. Step 4: Simplify right side
    12,830.40x = 134,683,928.06
  5. Step 5: Solve for x
    x = 134,683,928.06/12,830.40
  6. Step 6: Final answer
    x = 10,497.25

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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.