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Finding the Fourth Proportional to 9,868.10, 13,624.02 and 9,394.48

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Solution

The fourth proportional to 9,868.10, 13,624.02 and 9,394.48 is: 12,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.10 : 13,624.02 = 9,394.48 : x
  2. Step 2: Convert to fraction form
    9,868.10/13,624.02 = 9,394.48/x
  3. Step 3: Cross multiply
    9,868.10x = 13,624.02 × 9,394.48
  4. Step 4: Simplify right side
    9,868.10x = 127,990,583.41
  5. Step 5: Solve for x
    x = 127,990,583.41/9,868.10
  6. Step 6: Final answer
    x = 12,970.13

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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.