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Finding the Fourth Proportional to 9,769.60, 13,471.18 and 7,075.48

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Solution

The fourth proportional to 9,769.60, 13,471.18 and 7,075.48 is: 9,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.60 : 13,471.18 = 7,075.48 : x
  2. Step 2: Convert to fraction form
    9,769.60/13,471.18 = 7,075.48/x
  3. Step 3: Cross multiply
    9,769.60x = 13,471.18 × 7,075.48
  4. Step 4: Simplify right side
    9,769.60x = 95,315,064.67
  5. Step 5: Solve for x
    x = 95,315,064.67/9,769.60
  6. Step 6: Final answer
    x = 9,756.29

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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.