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Finding the Fourth Proportional to 15,907.78, 23,854.71 and 6,541.54

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Solution

The fourth proportional to 15,907.78, 23,854.71 and 6,541.54 is: 9,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.78 : 23,854.71 = 6,541.54 : x
  2. Step 2: Convert to fraction form
    15,907.78/23,854.71 = 6,541.54/x
  3. Step 3: Cross multiply
    15,907.78x = 23,854.71 × 6,541.54
  4. Step 4: Simplify right side
    15,907.78x = 156,046,539.65
  5. Step 5: Solve for x
    x = 156,046,539.65/15,907.78
  6. Step 6: Final answer
    x = 9,809.45

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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.