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Finding the Fourth Proportional to 9,097.16, 13,645.74 and 8,397.32

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Solution

The fourth proportional to 9,097.16, 13,645.74 and 8,397.32 is: 12,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.16 : 13,645.74 = 8,397.32 : x
  2. Step 2: Convert to fraction form
    9,097.16/13,645.74 = 8,397.32/x
  3. Step 3: Cross multiply
    9,097.16x = 13,645.74 × 8,397.32
  4. Step 4: Simplify right side
    9,097.16x = 114,587,645.42
  5. Step 5: Solve for x
    x = 114,587,645.42/9,097.16
  6. Step 6: Final answer
    x = 12,595.98

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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.