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Finding the Fourth Proportional to 9,782.10, 13,495.11 and 6,597.45

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Solution

The fourth proportional to 9,782.10, 13,495.11 and 6,597.45 is: 9,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.10 : 13,495.11 = 6,597.45 : x
  2. Step 2: Convert to fraction form
    9,782.10/13,495.11 = 6,597.45/x
  3. Step 3: Cross multiply
    9,782.10x = 13,495.11 × 6,597.45
  4. Step 4: Simplify right side
    9,782.10x = 89,033,288.73
  5. Step 5: Solve for x
    x = 89,033,288.73/9,782.10
  6. Step 6: Final answer
    x = 9,101.65

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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.