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Finding the Fourth Proportional to 11,303, 15,597.37 and 6,523.14

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Solution

The fourth proportional to 11,303, 15,597.37 and 6,523.14 is: 9,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303 : 15,597.37 = 6,523.14 : x
  2. Step 2: Convert to fraction form
    11,303/15,597.37 = 6,523.14/x
  3. Step 3: Cross multiply
    11,303x = 15,597.37 × 6,523.14
  4. Step 4: Simplify right side
    11,303x = 101,743,828.14
  5. Step 5: Solve for x
    x = 101,743,828.14/11,303
  6. Step 6: Final answer
    x = 9,001.49

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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.