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Finding the Fourth Proportional to 8,574.66, 11,823.30 and 5,585.76

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Solution

The fourth proportional to 8,574.66, 11,823.30 and 5,585.76 is: 7,702.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.66 : 11,823.30 = 5,585.76 : x
  2. Step 2: Convert to fraction form
    8,574.66/11,823.30 = 5,585.76/x
  3. Step 3: Cross multiply
    8,574.66x = 11,823.30 × 5,585.76
  4. Step 4: Simplify right side
    8,574.66x = 66,042,116.21
  5. Step 5: Solve for x
    x = 66,042,116.21/8,574.66
  6. Step 6: Final answer
    x = 7,702.01

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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.