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Finding the Fourth Proportional to 9,897.70, 14,842.20 and 2,970.58

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Solution

The fourth proportional to 9,897.70, 14,842.20 and 2,970.58 is: 4,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.70 : 14,842.20 = 2,970.58 : x
  2. Step 2: Convert to fraction form
    9,897.70/14,842.20 = 2,970.58/x
  3. Step 3: Cross multiply
    9,897.70x = 14,842.20 × 2,970.58
  4. Step 4: Simplify right side
    9,897.70x = 44,089,942.48
  5. Step 5: Solve for x
    x = 44,089,942.48/9,897.70
  6. Step 6: Final answer
    x = 4,454.56

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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.