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Finding the Fourth Proportional to 7,205.04, 10,807.56 and 3,735

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Solution

The fourth proportional to 7,205.04, 10,807.56 and 3,735 is: 5,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.04 : 10,807.56 = 3,735 : x
  2. Step 2: Convert to fraction form
    7,205.04/10,807.56 = 3,735/x
  3. Step 3: Cross multiply
    7,205.04x = 10,807.56 × 3,735
  4. Step 4: Simplify right side
    7,205.04x = 40,366,236.60
  5. Step 5: Solve for x
    x = 40,366,236.60/7,205.04
  6. Step 6: Final answer
    x = 5,602.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.