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Finding the Fourth Proportional to 19,898.66, 27,459.47 and 10,946.08

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Solution

The fourth proportional to 19,898.66, 27,459.47 and 10,946.08 is: 15,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.66 : 27,459.47 = 10,946.08 : x
  2. Step 2: Convert to fraction form
    19,898.66/27,459.47 = 10,946.08/x
  3. Step 3: Cross multiply
    19,898.66x = 27,459.47 × 10,946.08
  4. Step 4: Simplify right side
    19,898.66x = 300,573,617.07
  5. Step 5: Solve for x
    x = 300,573,617.07/19,898.66
  6. Step 6: Final answer
    x = 15,105.22

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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.