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Finding the Fourth Proportional to 8,097.48, 12,146.22 and 4,632.30

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Solution

The fourth proportional to 8,097.48, 12,146.22 and 4,632.30 is: 6,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.48 : 12,146.22 = 4,632.30 : x
  2. Step 2: Convert to fraction form
    8,097.48/12,146.22 = 4,632.30/x
  3. Step 3: Cross multiply
    8,097.48x = 12,146.22 × 4,632.30
  4. Step 4: Simplify right side
    8,097.48x = 56,264,881.38
  5. Step 5: Solve for x
    x = 56,264,881.38/8,097.48
  6. Step 6: Final answer
    x = 6,948.45

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Similar ratio
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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.