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Finding the Fourth Proportional to 9,531, 13,152.19 and 5,598.63

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Solution

The fourth proportional to 9,531, 13,152.19 and 5,598.63 is: 7,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531 : 13,152.19 = 5,598.63 : x
  2. Step 2: Convert to fraction form
    9,531/13,152.19 = 5,598.63/x
  3. Step 3: Cross multiply
    9,531x = 13,152.19 × 5,598.63
  4. Step 4: Simplify right side
    9,531x = 73,634,245.50
  5. Step 5: Solve for x
    x = 73,634,245.50/9,531
  6. Step 6: Final answer
    x = 7,725.76

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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.