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Finding the Fourth Proportional to 7,154.35, 9,870.14 and 4,463.98

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Solution

The fourth proportional to 7,154.35, 9,870.14 and 4,463.98 is: 6,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.35 : 9,870.14 = 4,463.98 : x
  2. Step 2: Convert to fraction form
    7,154.35/9,870.14 = 4,463.98/x
  3. Step 3: Cross multiply
    7,154.35x = 9,870.14 × 4,463.98
  4. Step 4: Simplify right side
    7,154.35x = 44,060,094.04
  5. Step 5: Solve for x
    x = 44,060,094.04/7,154.35
  6. Step 6: Final answer
    x = 6,158.51

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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.