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Finding the Fourth Proportional to 15,584.70, 23,368.74 and 6,809.34

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Solution

The fourth proportional to 15,584.70, 23,368.74 and 6,809.34 is: 10,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.70 : 23,368.74 = 6,809.34 : x
  2. Step 2: Convert to fraction form
    15,584.70/23,368.74 = 6,809.34/x
  3. Step 3: Cross multiply
    15,584.70x = 23,368.74 × 6,809.34
  4. Step 4: Simplify right side
    15,584.70x = 159,125,696.03
  5. Step 5: Solve for x
    x = 159,125,696.03/15,584.70
  6. Step 6: Final answer
    x = 10,210.38

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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.