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Finding the Fourth Proportional to 4,564.74, 6,300.16 and 4,356.98

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Solution

The fourth proportional to 4,564.74, 6,300.16 and 4,356.98 is: 6,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.74 : 6,300.16 = 4,356.98 : x
  2. Step 2: Convert to fraction form
    4,564.74/6,300.16 = 4,356.98/x
  3. Step 3: Cross multiply
    4,564.74x = 6,300.16 × 4,356.98
  4. Step 4: Simplify right side
    4,564.74x = 27,449,671.12
  5. Step 5: Solve for x
    x = 27,449,671.12/4,564.74
  6. Step 6: Final answer
    x = 6,013.41

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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.