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Finding the Fourth Proportional to 9,520.65, 13,138.02 and 5,541.48

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Solution

The fourth proportional to 9,520.65, 13,138.02 and 5,541.48 is: 7,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.65 : 13,138.02 = 5,541.48 : x
  2. Step 2: Convert to fraction form
    9,520.65/13,138.02 = 5,541.48/x
  3. Step 3: Cross multiply
    9,520.65x = 13,138.02 × 5,541.48
  4. Step 4: Simplify right side
    9,520.65x = 72,804,075.07
  5. Step 5: Solve for x
    x = 72,804,075.07/9,520.65
  6. Step 6: Final answer
    x = 7,646.96

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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.