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Finding the Fourth Proportional to 7,126.40, 9,818.33 and 4,970.88

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Solution

The fourth proportional to 7,126.40, 9,818.33 and 4,970.88 is: 6,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.40 : 9,818.33 = 4,970.88 : x
  2. Step 2: Convert to fraction form
    7,126.40/9,818.33 = 4,970.88/x
  3. Step 3: Cross multiply
    7,126.40x = 9,818.33 × 4,970.88
  4. Step 4: Simplify right side
    7,126.40x = 48,805,715.38
  5. Step 5: Solve for x
    x = 48,805,715.38/7,126.40
  6. Step 6: Final answer
    x = 6,848.58

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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.