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Finding the Fourth Proportional to 10,570, 15,851.16 and 4,723.60

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Solution

The fourth proportional to 10,570, 15,851.16 and 4,723.60 is: 7,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570 : 15,851.16 = 4,723.60 : x
  2. Step 2: Convert to fraction form
    10,570/15,851.16 = 4,723.60/x
  3. Step 3: Cross multiply
    10,570x = 15,851.16 × 4,723.60
  4. Step 4: Simplify right side
    10,570x = 74,874,539.38
  5. Step 5: Solve for x
    x = 74,874,539.38/10,570
  6. Step 6: Final answer
    x = 7,083.68

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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.