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Finding the Fourth Proportional to 8,594.34, 11,854.13 and 7,314.95

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Solution

The fourth proportional to 8,594.34, 11,854.13 and 7,314.95 is: 10,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.34 : 11,854.13 = 7,314.95 : x
  2. Step 2: Convert to fraction form
    8,594.34/11,854.13 = 7,314.95/x
  3. Step 3: Cross multiply
    8,594.34x = 11,854.13 × 7,314.95
  4. Step 4: Simplify right side
    8,594.34x = 86,712,272.40
  5. Step 5: Solve for x
    x = 86,712,272.40/8,594.34
  6. Step 6: Final answer
    x = 10,089.46

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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.