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Finding the Fourth Proportional to 15,323.54, 22,973.89 and 6,441.47

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Solution

The fourth proportional to 15,323.54, 22,973.89 and 6,441.47 is: 9,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.54 : 22,973.89 = 6,441.47 : x
  2. Step 2: Convert to fraction form
    15,323.54/22,973.89 = 6,441.47/x
  3. Step 3: Cross multiply
    15,323.54x = 22,973.89 × 6,441.47
  4. Step 4: Simplify right side
    15,323.54x = 147,985,492.25
  5. Step 5: Solve for x
    x = 147,985,492.25/15,323.54
  6. Step 6: Final answer
    x = 9,657.40

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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.