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Finding the Fourth Proportional to 6,470.40, 9,681.60 and 4,742.40

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Solution

The fourth proportional to 6,470.40, 9,681.60 and 4,742.40 is: 7,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.40 : 9,681.60 = 4,742.40 : x
  2. Step 2: Convert to fraction form
    6,470.40/9,681.60 = 4,742.40/x
  3. Step 3: Cross multiply
    6,470.40x = 9,681.60 × 4,742.40
  4. Step 4: Simplify right side
    6,470.40x = 45,914,019.84
  5. Step 5: Solve for x
    x = 45,914,019.84/6,470.40
  6. Step 6: Final answer
    x = 7,096.01

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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.