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Finding the Fourth Proportional to 6,567.48, 9,849.71 and 1,887.45

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Solution

The fourth proportional to 6,567.48, 9,849.71 and 1,887.45 is: 2,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.48 : 9,849.71 = 1,887.45 : x
  2. Step 2: Convert to fraction form
    6,567.48/9,849.71 = 1,887.45/x
  3. Step 3: Cross multiply
    6,567.48x = 9,849.71 × 1,887.45
  4. Step 4: Simplify right side
    6,567.48x = 18,590,835.14
  5. Step 5: Solve for x
    x = 18,590,835.14/6,567.48
  6. Step 6: Final answer
    x = 2,830.74

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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.