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Finding the Fourth Proportional to 5,072.16, 7,569.82 and 4,653.80

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Solution

The fourth proportional to 5,072.16, 7,569.82 and 4,653.80 is: 6,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.16 : 7,569.82 = 4,653.80 : x
  2. Step 2: Convert to fraction form
    5,072.16/7,569.82 = 4,653.80/x
  3. Step 3: Cross multiply
    5,072.16x = 7,569.82 × 4,653.80
  4. Step 4: Simplify right side
    5,072.16x = 35,228,428.32
  5. Step 5: Solve for x
    x = 35,228,428.32/5,072.16
  6. Step 6: Final answer
    x = 6,945.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.