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Finding the Fourth Proportional to 9,717.12, 14,594.88 and 8,329.92

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Solution

The fourth proportional to 9,717.12, 14,594.88 and 8,329.92 is: 12,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.12 : 14,594.88 = 8,329.92 : x
  2. Step 2: Convert to fraction form
    9,717.12/14,594.88 = 8,329.92/x
  3. Step 3: Cross multiply
    9,717.12x = 14,594.88 × 8,329.92
  4. Step 4: Simplify right side
    9,717.12x = 121,574,182.81
  5. Step 5: Solve for x
    x = 121,574,182.81/9,717.12
  6. Step 6: Final answer
    x = 12,511.34

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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.