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Finding the Fourth Proportional to 10,698.64, 14,770.80 and 9,562.20

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Solution

The fourth proportional to 10,698.64, 14,770.80 and 9,562.20 is: 13,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.64 : 14,770.80 = 9,562.20 : x
  2. Step 2: Convert to fraction form
    10,698.64/14,770.80 = 9,562.20/x
  3. Step 3: Cross multiply
    10,698.64x = 14,770.80 × 9,562.20
  4. Step 4: Simplify right side
    10,698.64x = 141,241,343.76
  5. Step 5: Solve for x
    x = 141,241,343.76/10,698.64
  6. Step 6: Final answer
    x = 13,201.80

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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.