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Finding the Fourth Proportional to 6,503.04, 9,756 and 1,886.08

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Solution

The fourth proportional to 6,503.04, 9,756 and 1,886.08 is: 2,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.04 : 9,756 = 1,886.08 : x
  2. Step 2: Convert to fraction form
    6,503.04/9,756 = 1,886.08/x
  3. Step 3: Cross multiply
    6,503.04x = 9,756 × 1,886.08
  4. Step 4: Simplify right side
    6,503.04x = 18,400,596.48
  5. Step 5: Solve for x
    x = 18,400,596.48/6,503.04
  6. Step 6: Final answer
    x = 2,829.54

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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.