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Finding the Fourth Proportional to 7,065.61, 9,747.75 and 4,080.86

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Solution

The fourth proportional to 7,065.61, 9,747.75 and 4,080.86 is: 5,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.61 : 9,747.75 = 4,080.86 : x
  2. Step 2: Convert to fraction form
    7,065.61/9,747.75 = 4,080.86/x
  3. Step 3: Cross multiply
    7,065.61x = 9,747.75 × 4,080.86
  4. Step 4: Simplify right side
    7,065.61x = 39,779,206.18
  5. Step 5: Solve for x
    x = 39,779,206.18/7,065.61
  6. Step 6: Final answer
    x = 5,629.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.