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Finding the Fourth Proportional to 4,699.40, 6,472.02 and 4,597.36

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Solution

The fourth proportional to 4,699.40, 6,472.02 and 4,597.36 is: 6,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.40 : 6,472.02 = 4,597.36 : x
  2. Step 2: Convert to fraction form
    4,699.40/6,472.02 = 4,597.36/x
  3. Step 3: Cross multiply
    4,699.40x = 6,472.02 × 4,597.36
  4. Step 4: Simplify right side
    4,699.40x = 29,754,205.87
  5. Step 5: Solve for x
    x = 29,754,205.87/4,699.40
  6. Step 6: Final answer
    x = 6,331.49

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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.