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Finding the Fourth Proportional to 15,762.84, 21,752.61 and 8,592.74

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Solution

The fourth proportional to 15,762.84, 21,752.61 and 8,592.74 is: 11,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.84 : 21,752.61 = 8,592.74 : x
  2. Step 2: Convert to fraction form
    15,762.84/21,752.61 = 8,592.74/x
  3. Step 3: Cross multiply
    15,762.84x = 21,752.61 × 8,592.74
  4. Step 4: Simplify right side
    15,762.84x = 186,914,413.29
  5. Step 5: Solve for x
    x = 186,914,413.29/15,762.84
  6. Step 6: Final answer
    x = 11,857.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.