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Finding the Fourth Proportional to 9,970.54, 14,838.11 and 9,638.34

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Solution

The fourth proportional to 9,970.54, 14,838.11 and 9,638.34 is: 14,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.54 : 14,838.11 = 9,638.34 : x
  2. Step 2: Convert to fraction form
    9,970.54/14,838.11 = 9,638.34/x
  3. Step 3: Cross multiply
    9,970.54x = 14,838.11 × 9,638.34
  4. Step 4: Simplify right side
    9,970.54x = 143,014,792.02
  5. Step 5: Solve for x
    x = 143,014,792.02/9,970.54
  6. Step 6: Final answer
    x = 14,343.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.