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Finding the Fourth Proportional to 4,972.88, 7,460.59 and 1,853.07

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Solution

The fourth proportional to 4,972.88, 7,460.59 and 1,853.07 is: 2,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.88 : 7,460.59 = 1,853.07 : x
  2. Step 2: Convert to fraction form
    4,972.88/7,460.59 = 1,853.07/x
  3. Step 3: Cross multiply
    4,972.88x = 7,460.59 × 1,853.07
  4. Step 4: Simplify right side
    4,972.88x = 13,824,995.51
  5. Step 5: Solve for x
    x = 13,824,995.51/4,972.88
  6. Step 6: Final answer
    x = 2,780.08

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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.