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Finding the Fourth Proportional to 7,652.80, 10,561.84 and 4,509.28

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Solution

The fourth proportional to 7,652.80, 10,561.84 and 4,509.28 is: 6,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.80 : 10,561.84 = 4,509.28 : x
  2. Step 2: Convert to fraction form
    7,652.80/10,561.84 = 4,509.28/x
  3. Step 3: Cross multiply
    7,652.80x = 10,561.84 × 4,509.28
  4. Step 4: Simplify right side
    7,652.80x = 47,626,293.88
  5. Step 5: Solve for x
    x = 47,626,293.88/7,652.80
  6. Step 6: Final answer
    x = 6,223.38

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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.