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Finding the Fourth Proportional to 12,846.48, 17,702.46 and 10,830.08

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Solution

The fourth proportional to 12,846.48, 17,702.46 and 10,830.08 is: 14,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.48 : 17,702.46 = 10,830.08 : x
  2. Step 2: Convert to fraction form
    12,846.48/17,702.46 = 10,830.08/x
  3. Step 3: Cross multiply
    12,846.48x = 17,702.46 × 10,830.08
  4. Step 4: Simplify right side
    12,846.48x = 191,719,058.00
  5. Step 5: Solve for x
    x = 191,719,058.00/12,846.48
  6. Step 6: Final answer
    x = 14,923.86

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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.