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Finding the Fourth Proportional to 12,295.47, 18,461.66 and 7,036.42

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Solution

The fourth proportional to 12,295.47, 18,461.66 and 7,036.42 is: 10,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.47 : 18,461.66 = 7,036.42 : x
  2. Step 2: Convert to fraction form
    12,295.47/18,461.66 = 7,036.42/x
  3. Step 3: Cross multiply
    12,295.47x = 18,461.66 × 7,036.42
  4. Step 4: Simplify right side
    12,295.47x = 129,904,038.44
  5. Step 5: Solve for x
    x = 129,904,038.44/12,295.47
  6. Step 6: Final answer
    x = 10,565.19

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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.