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Finding the Fourth Proportional to 5,583.84, 7,700.16 and 4,402.56

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Solution

The fourth proportional to 5,583.84, 7,700.16 and 4,402.56 is: 6,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.84 : 7,700.16 = 4,402.56 : x
  2. Step 2: Convert to fraction form
    5,583.84/7,700.16 = 4,402.56/x
  3. Step 3: Cross multiply
    5,583.84x = 7,700.16 × 4,402.56
  4. Step 4: Simplify right side
    5,583.84x = 33,900,416.41
  5. Step 5: Solve for x
    x = 33,900,416.41/5,583.84
  6. Step 6: Final answer
    x = 6,071.17

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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.