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Finding the Fourth Proportional to 14,838.66, 22,257.98 and 6,070

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Solution

The fourth proportional to 14,838.66, 22,257.98 and 6,070 is: 9,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.66 : 22,257.98 = 6,070 : x
  2. Step 2: Convert to fraction form
    14,838.66/22,257.98 = 6,070/x
  3. Step 3: Cross multiply
    14,838.66x = 22,257.98 × 6,070
  4. Step 4: Simplify right side
    14,838.66x = 135,105,953.78
  5. Step 5: Solve for x
    x = 135,105,953.78/14,838.66
  6. Step 6: Final answer
    x = 9,105.00

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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.