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Finding the Fourth Proportional to 9,130.16, 13,702.92 and 8,554.16

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Solution

The fourth proportional to 9,130.16, 13,702.92 and 8,554.16 is: 12,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.16 : 13,702.92 = 8,554.16 : x
  2. Step 2: Convert to fraction form
    9,130.16/13,702.92 = 8,554.16/x
  3. Step 3: Cross multiply
    9,130.16x = 13,702.92 × 8,554.16
  4. Step 4: Simplify right side
    9,130.16x = 117,216,970.15
  5. Step 5: Solve for x
    x = 117,216,970.15/9,130.16
  6. Step 6: Final answer
    x = 12,838.44

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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.