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Finding the Fourth Proportional to 9,075.87, 12,526.05 and 5,541.13

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Solution

The fourth proportional to 9,075.87, 12,526.05 and 5,541.13 is: 7,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.87 : 12,526.05 = 5,541.13 : x
  2. Step 2: Convert to fraction form
    9,075.87/12,526.05 = 5,541.13/x
  3. Step 3: Cross multiply
    9,075.87x = 12,526.05 × 5,541.13
  4. Step 4: Simplify right side
    9,075.87x = 69,408,471.44
  5. Step 5: Solve for x
    x = 69,408,471.44/9,075.87
  6. Step 6: Final answer
    x = 7,647.58

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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.