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Finding the Fourth Proportional to 8,594.78, 12,897.14 and 4,646.06

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Solution

The fourth proportional to 8,594.78, 12,897.14 and 4,646.06 is: 6,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.78 : 12,897.14 = 4,646.06 : x
  2. Step 2: Convert to fraction form
    8,594.78/12,897.14 = 4,646.06/x
  3. Step 3: Cross multiply
    8,594.78x = 12,897.14 × 4,646.06
  4. Step 4: Simplify right side
    8,594.78x = 59,920,886.27
  5. Step 5: Solve for x
    x = 59,920,886.27/8,594.78
  6. Step 6: Final answer
    x = 6,971.78

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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.