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Finding the Fourth Proportional to 6,503.80, 9,765.30 and 4,564.60

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Solution

The fourth proportional to 6,503.80, 9,765.30 and 4,564.60 is: 6,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.80 : 9,765.30 = 4,564.60 : x
  2. Step 2: Convert to fraction form
    6,503.80/9,765.30 = 4,564.60/x
  3. Step 3: Cross multiply
    6,503.80x = 9,765.30 × 4,564.60
  4. Step 4: Simplify right side
    6,503.80x = 44,574,688.38
  5. Step 5: Solve for x
    x = 44,574,688.38/6,503.80
  6. Step 6: Final answer
    x = 6,853.64

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1.5x scale

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.