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Finding the Fourth Proportional to 10,046, 15,071.44 and 3,120.50

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Solution

The fourth proportional to 10,046, 15,071.44 and 3,120.50 is: 4,681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046 : 15,071.44 = 3,120.50 : x
  2. Step 2: Convert to fraction form
    10,046/15,071.44 = 3,120.50/x
  3. Step 3: Cross multiply
    10,046x = 15,071.44 × 3,120.50
  4. Step 4: Simplify right side
    10,046x = 47,030,428.52
  5. Step 5: Solve for x
    x = 47,030,428.52/10,046
  6. Step 6: Final answer
    x = 4,681.51

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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.