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Finding the Fourth Proportional to 6,567.60, 9,849.96 and 1,887.60

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Solution

The fourth proportional to 6,567.60, 9,849.96 and 1,887.60 is: 2,830.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.60 : 9,849.96 = 1,887.60 : x
  2. Step 2: Convert to fraction form
    6,567.60/9,849.96 = 1,887.60/x
  3. Step 3: Cross multiply
    6,567.60x = 9,849.96 × 1,887.60
  4. Step 4: Simplify right side
    6,567.60x = 18,592,784.50
  5. Step 5: Solve for x
    x = 18,592,784.50/6,567.60
  6. Step 6: Final answer
    x = 2,830.99

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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.