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Finding the Fourth Proportional to 15,173, 22,762.70 and 4,643.88

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Solution

The fourth proportional to 15,173, 22,762.70 and 4,643.88 is: 6,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,173 : 22,762.70 = 4,643.88 : x
  2. Step 2: Convert to fraction form
    15,173/22,762.70 = 4,643.88/x
  3. Step 3: Cross multiply
    15,173x = 22,762.70 × 4,643.88
  4. Step 4: Simplify right side
    15,173x = 105,707,247.28
  5. Step 5: Solve for x
    x = 105,707,247.28/15,173
  6. Step 6: Final answer
    x = 6,966.80

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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.