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Finding the Fourth Proportional to 10,597.97, 14,615.03 and 7,011.29

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Solution

The fourth proportional to 10,597.97, 14,615.03 and 7,011.29 is: 9,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.97 : 14,615.03 = 7,011.29 : x
  2. Step 2: Convert to fraction form
    10,597.97/14,615.03 = 7,011.29/x
  3. Step 3: Cross multiply
    10,597.97x = 14,615.03 × 7,011.29
  4. Step 4: Simplify right side
    10,597.97x = 102,470,267.75
  5. Step 5: Solve for x
    x = 102,470,267.75/10,597.97
  6. Step 6: Final answer
    x = 9,668.86

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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.