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Finding the Fourth Proportional to 7,208.04, 9,947.16 and 4,413

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Solution

The fourth proportional to 7,208.04, 9,947.16 and 4,413 is: 6,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.04 : 9,947.16 = 4,413 : x
  2. Step 2: Convert to fraction form
    7,208.04/9,947.16 = 4,413/x
  3. Step 3: Cross multiply
    7,208.04x = 9,947.16 × 4,413
  4. Step 4: Simplify right side
    7,208.04x = 43,896,817.08
  5. Step 5: Solve for x
    x = 43,896,817.08/7,208.04
  6. Step 6: Final answer
    x = 6,089.98

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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.