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Finding the Fourth Proportional to 9,746.70, 14,681.40 and 8,874.74

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Solution

The fourth proportional to 9,746.70, 14,681.40 and 8,874.74 is: 13,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.70 : 14,681.40 = 8,874.74 : x
  2. Step 2: Convert to fraction form
    9,746.70/14,681.40 = 8,874.74/x
  3. Step 3: Cross multiply
    9,746.70x = 14,681.40 × 8,874.74
  4. Step 4: Simplify right side
    9,746.70x = 130,293,607.84
  5. Step 5: Solve for x
    x = 130,293,607.84/9,746.70
  6. Step 6: Final answer
    x = 13,367.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.