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Finding the Fourth Proportional to 7,047.16, 9,721.68 and 4,658.07

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Solution

The fourth proportional to 7,047.16, 9,721.68 and 4,658.07 is: 6,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.16 : 9,721.68 = 4,658.07 : x
  2. Step 2: Convert to fraction form
    7,047.16/9,721.68 = 4,658.07/x
  3. Step 3: Cross multiply
    7,047.16x = 9,721.68 × 4,658.07
  4. Step 4: Simplify right side
    7,047.16x = 45,284,265.96
  5. Step 5: Solve for x
    x = 45,284,265.96/7,047.16
  6. Step 6: Final answer
    x = 6,425.89

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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.