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Finding the Fourth Proportional to 8,563.65, 11,803.71 and 5,730.03

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Solution

The fourth proportional to 8,563.65, 11,803.71 and 5,730.03 is: 7,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.65 : 11,803.71 = 5,730.03 : x
  2. Step 2: Convert to fraction form
    8,563.65/11,803.71 = 5,730.03/x
  3. Step 3: Cross multiply
    8,563.65x = 11,803.71 × 5,730.03
  4. Step 4: Simplify right side
    8,563.65x = 67,635,612.41
  5. Step 5: Solve for x
    x = 67,635,612.41/8,563.65
  6. Step 6: Final answer
    x = 7,897.99

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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.