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Finding the Fourth Proportional to 4,696.76, 7,045.95 and 1,577.07

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Solution

The fourth proportional to 4,696.76, 7,045.95 and 1,577.07 is: 2,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.76 : 7,045.95 = 1,577.07 : x
  2. Step 2: Convert to fraction form
    4,696.76/7,045.95 = 1,577.07/x
  3. Step 3: Cross multiply
    4,696.76x = 7,045.95 × 1,577.07
  4. Step 4: Simplify right side
    4,696.76x = 11,111,956.37
  5. Step 5: Solve for x
    x = 11,111,956.37/4,696.76
  6. Step 6: Final answer
    x = 2,365.88

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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.