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Finding the Fourth Proportional to 14,706.40, 22,059.60 and 4,843

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Solution

The fourth proportional to 14,706.40, 22,059.60 and 4,843 is: 7,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.40 : 22,059.60 = 4,843 : x
  2. Step 2: Convert to fraction form
    14,706.40/22,059.60 = 4,843/x
  3. Step 3: Cross multiply
    14,706.40x = 22,059.60 × 4,843
  4. Step 4: Simplify right side
    14,706.40x = 106,834,642.80
  5. Step 5: Solve for x
    x = 106,834,642.80/14,706.40
  6. Step 6: Final answer
    x = 7,264.50

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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.