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Finding the Fourth Proportional to 9,953.20, 14,962.20 and 7,051.60

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Solution

The fourth proportional to 9,953.20, 14,962.20 and 7,051.60 is: 10,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.20 : 14,962.20 = 7,051.60 : x
  2. Step 2: Convert to fraction form
    9,953.20/14,962.20 = 7,051.60/x
  3. Step 3: Cross multiply
    9,953.20x = 14,962.20 × 7,051.60
  4. Step 4: Simplify right side
    9,953.20x = 105,507,449.52
  5. Step 5: Solve for x
    x = 105,507,449.52/9,953.20
  6. Step 6: Final answer
    x = 10,600.35

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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.