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Finding the Fourth Proportional to 15,684.51, 23,533.88 and 7,794.89

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Solution

The fourth proportional to 15,684.51, 23,533.88 and 7,794.89 is: 11,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.51 : 23,533.88 = 7,794.89 : x
  2. Step 2: Convert to fraction form
    15,684.51/23,533.88 = 7,794.89/x
  3. Step 3: Cross multiply
    15,684.51x = 23,533.88 × 7,794.89
  4. Step 4: Simplify right side
    15,684.51x = 183,444,005.87
  5. Step 5: Solve for x
    x = 183,444,005.87/15,684.51
  6. Step 6: Final answer
    x = 11,695.87

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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.