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Finding the Fourth Proportional to 13,792.88, 19,043.16 and 9,085.16

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Solution

The fourth proportional to 13,792.88, 19,043.16 and 9,085.16 is: 12,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.88 : 19,043.16 = 9,085.16 : x
  2. Step 2: Convert to fraction form
    13,792.88/19,043.16 = 9,085.16/x
  3. Step 3: Cross multiply
    13,792.88x = 19,043.16 × 9,085.16
  4. Step 4: Simplify right side
    13,792.88x = 173,010,155.51
  5. Step 5: Solve for x
    x = 173,010,155.51/13,792.88
  6. Step 6: Final answer
    x = 12,543.44

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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.