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Finding the Fourth Proportional to 7,005.70, 9,661.48 and 4,643.74

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Solution

The fourth proportional to 7,005.70, 9,661.48 and 4,643.74 is: 6,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.70 : 9,661.48 = 4,643.74 : x
  2. Step 2: Convert to fraction form
    7,005.70/9,661.48 = 4,643.74/x
  3. Step 3: Cross multiply
    7,005.70x = 9,661.48 × 4,643.74
  4. Step 4: Simplify right side
    7,005.70x = 44,865,401.14
  5. Step 5: Solve for x
    x = 44,865,401.14/7,005.70
  6. Step 6: Final answer
    x = 6,404.13

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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.