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Finding the Fourth Proportional to 8,564.50, 11,804.88 and 5,730.87

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Solution

The fourth proportional to 8,564.50, 11,804.88 and 5,730.87 is: 7,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.50 : 11,804.88 = 5,730.87 : x
  2. Step 2: Convert to fraction form
    8,564.50/11,804.88 = 5,730.87/x
  3. Step 3: Cross multiply
    8,564.50x = 11,804.88 × 5,730.87
  4. Step 4: Simplify right side
    8,564.50x = 67,652,232.65
  5. Step 5: Solve for x
    x = 67,652,232.65/8,564.50
  6. Step 6: Final answer
    x = 7,899.15

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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.