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Finding the Fourth Proportional to 6,530.40, 9,795.60 and 1,913.40

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Solution

The fourth proportional to 6,530.40, 9,795.60 and 1,913.40 is: 2,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.40 : 9,795.60 = 1,913.40 : x
  2. Step 2: Convert to fraction form
    6,530.40/9,795.60 = 1,913.40/x
  3. Step 3: Cross multiply
    6,530.40x = 9,795.60 × 1,913.40
  4. Step 4: Simplify right side
    6,530.40x = 18,742,901.04
  5. Step 5: Solve for x
    x = 18,742,901.04/6,530.40
  6. Step 6: Final answer
    x = 2,870.10

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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.