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Finding the Fourth Proportional to 6,525.94, 9,005.70 and 3,541.78

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Solution

The fourth proportional to 6,525.94, 9,005.70 and 3,541.78 is: 4,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.94 : 9,005.70 = 3,541.78 : x
  2. Step 2: Convert to fraction form
    6,525.94/9,005.70 = 3,541.78/x
  3. Step 3: Cross multiply
    6,525.94x = 9,005.70 × 3,541.78
  4. Step 4: Simplify right side
    6,525.94x = 31,896,208.15
  5. Step 5: Solve for x
    x = 31,896,208.15/6,525.94
  6. Step 6: Final answer
    x = 4,887.60

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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.