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Finding the Fourth Proportional to 15,492, 23,228.46 and 9,250.80

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Solution

The fourth proportional to 15,492, 23,228.46 and 9,250.80 is: 13,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492 : 23,228.46 = 9,250.80 : x
  2. Step 2: Convert to fraction form
    15,492/23,228.46 = 9,250.80/x
  3. Step 3: Cross multiply
    15,492x = 23,228.46 × 9,250.80
  4. Step 4: Simplify right side
    15,492x = 214,881,837.77
  5. Step 5: Solve for x
    x = 214,881,837.77/15,492
  6. Step 6: Final answer
    x = 13,870.50

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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.