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Finding the Fourth Proportional to 4,547.98, 6,822.24 and 1,625.50

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Solution

The fourth proportional to 4,547.98, 6,822.24 and 1,625.50 is: 2,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.98 : 6,822.24 = 1,625.50 : x
  2. Step 2: Convert to fraction form
    4,547.98/6,822.24 = 1,625.50/x
  3. Step 3: Cross multiply
    4,547.98x = 6,822.24 × 1,625.50
  4. Step 4: Simplify right side
    4,547.98x = 11,089,551.12
  5. Step 5: Solve for x
    x = 11,089,551.12/4,547.98
  6. Step 6: Final answer
    x = 2,438.35

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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.