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Finding the Fourth Proportional to 8,597.34, 11,866.86 and 5,613.63

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Solution

The fourth proportional to 8,597.34, 11,866.86 and 5,613.63 is: 7,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.34 : 11,866.86 = 5,613.63 : x
  2. Step 2: Convert to fraction form
    8,597.34/11,866.86 = 5,613.63/x
  3. Step 3: Cross multiply
    8,597.34x = 11,866.86 × 5,613.63
  4. Step 4: Simplify right side
    8,597.34x = 66,616,133.23
  5. Step 5: Solve for x
    x = 66,616,133.23/8,597.34
  6. Step 6: Final answer
    x = 7,748.46

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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.