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Finding the Fourth Proportional to 7,225.65, 9,972.72 and 4,676.54

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Solution

The fourth proportional to 7,225.65, 9,972.72 and 4,676.54 is: 6,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.65 : 9,972.72 = 4,676.54 : x
  2. Step 2: Convert to fraction form
    7,225.65/9,972.72 = 4,676.54/x
  3. Step 3: Cross multiply
    7,225.65x = 9,972.72 × 4,676.54
  4. Step 4: Simplify right side
    7,225.65x = 46,637,774.13
  5. Step 5: Solve for x
    x = 46,637,774.13/7,225.65
  6. Step 6: Final answer
    x = 6,454.47

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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.