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Finding the Fourth Proportional to 19,967.40, 29,946.90 and 10,097.40

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Solution

The fourth proportional to 19,967.40, 29,946.90 and 10,097.40 is: 15,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.40 : 29,946.90 = 10,097.40 : x
  2. Step 2: Convert to fraction form
    19,967.40/29,946.90 = 10,097.40/x
  3. Step 3: Cross multiply
    19,967.40x = 29,946.90 × 10,097.40
  4. Step 4: Simplify right side
    19,967.40x = 302,385,828.06
  5. Step 5: Solve for x
    x = 302,385,828.06/19,967.40
  6. Step 6: Final answer
    x = 15,143.98

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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.