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Finding the Fourth Proportional to 9,805.51, 13,522.38 and 7,563.84

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Solution

The fourth proportional to 9,805.51, 13,522.38 and 7,563.84 is: 10,430.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.51 : 13,522.38 = 7,563.84 : x
  2. Step 2: Convert to fraction form
    9,805.51/13,522.38 = 7,563.84/x
  3. Step 3: Cross multiply
    9,805.51x = 13,522.38 × 7,563.84
  4. Step 4: Simplify right side
    9,805.51x = 102,281,118.74
  5. Step 5: Solve for x
    x = 102,281,118.74/9,805.51
  6. Step 6: Final answer
    x = 10,430.98

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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.