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Finding the Fourth Proportional to 7,228.67, 9,970.16 and 4,573.49

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Solution

The fourth proportional to 7,228.67, 9,970.16 and 4,573.49 is: 6,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.67 : 9,970.16 = 4,573.49 : x
  2. Step 2: Convert to fraction form
    7,228.67/9,970.16 = 4,573.49/x
  3. Step 3: Cross multiply
    7,228.67x = 9,970.16 × 4,573.49
  4. Step 4: Simplify right side
    7,228.67x = 45,598,354.34
  5. Step 5: Solve for x
    x = 45,598,354.34/7,228.67
  6. Step 6: Final answer
    x = 6,307.99

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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.