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Finding the Fourth Proportional to 12,071.70, 16,666.74 and 9,838.94

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Solution

The fourth proportional to 12,071.70, 16,666.74 and 9,838.94 is: 13,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.70 : 16,666.74 = 9,838.94 : x
  2. Step 2: Convert to fraction form
    12,071.70/16,666.74 = 9,838.94/x
  3. Step 3: Cross multiply
    12,071.70x = 16,666.74 × 9,838.94
  4. Step 4: Simplify right side
    12,071.70x = 163,982,971.52
  5. Step 5: Solve for x
    x = 163,982,971.52/12,071.70
  6. Step 6: Final answer
    x = 13,584.08

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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.