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Finding the Fourth Proportional to 8,570.88, 11,825.19 and 5,585.63

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Solution

The fourth proportional to 8,570.88, 11,825.19 and 5,585.63 is: 7,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.88 : 11,825.19 = 5,585.63 : x
  2. Step 2: Convert to fraction form
    8,570.88/11,825.19 = 5,585.63/x
  3. Step 3: Cross multiply
    8,570.88x = 11,825.19 × 5,585.63
  4. Step 4: Simplify right side
    8,570.88x = 66,051,076.89
  5. Step 5: Solve for x
    x = 66,051,076.89/8,570.88
  6. Step 6: Final answer
    x = 7,706.45

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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.