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Finding the Fourth Proportional to 9,506.90, 14,254.28 and 8,339.25

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Solution

The fourth proportional to 9,506.90, 14,254.28 and 8,339.25 is: 12,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.90 : 14,254.28 = 8,339.25 : x
  2. Step 2: Convert to fraction form
    9,506.90/14,254.28 = 8,339.25/x
  3. Step 3: Cross multiply
    9,506.90x = 14,254.28 × 8,339.25
  4. Step 4: Simplify right side
    9,506.90x = 118,870,047.52
  5. Step 5: Solve for x
    x = 118,870,047.52/9,506.90
  6. Step 6: Final answer
    x = 12,503.55

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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.