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Finding the Fourth Proportional to 9,775.89, 13,482 and 7,676.37

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Solution

The fourth proportional to 9,775.89, 13,482 and 7,676.37 is: 10,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.89 : 13,482 = 7,676.37 : x
  2. Step 2: Convert to fraction form
    9,775.89/13,482 = 7,676.37/x
  3. Step 3: Cross multiply
    9,775.89x = 13,482 × 7,676.37
  4. Step 4: Simplify right side
    9,775.89x = 103,492,820.34
  5. Step 5: Solve for x
    x = 103,492,820.34/9,775.89
  6. Step 6: Final answer
    x = 10,586.54

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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.