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Finding the Fourth Proportional to 10,304.70, 14,220.74 and 5,828.24

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Solution

The fourth proportional to 10,304.70, 14,220.74 and 5,828.24 is: 8,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.70 : 14,220.74 = 5,828.24 : x
  2. Step 2: Convert to fraction form
    10,304.70/14,220.74 = 5,828.24/x
  3. Step 3: Cross multiply
    10,304.70x = 14,220.74 × 5,828.24
  4. Step 4: Simplify right side
    10,304.70x = 82,881,829.16
  5. Step 5: Solve for x
    x = 82,881,829.16/10,304.70
  6. Step 6: Final answer
    x = 8,043.11

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Double scale
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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.