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Finding the Fourth Proportional to 15,768, 23,655.24 and 6,534

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Solution

The fourth proportional to 15,768, 23,655.24 and 6,534 is: 9,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768 : 23,655.24 = 6,534 : x
  2. Step 2: Convert to fraction form
    15,768/23,655.24 = 6,534/x
  3. Step 3: Cross multiply
    15,768x = 23,655.24 × 6,534
  4. Step 4: Simplify right side
    15,768x = 154,563,338.16
  5. Step 5: Solve for x
    x = 154,563,338.16/15,768
  6. Step 6: Final answer
    x = 9,802.34

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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.