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Finding the Fourth Proportional to 9,810.59, 13,538.88 and 5,334.64

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Solution

The fourth proportional to 9,810.59, 13,538.88 and 5,334.64 is: 7,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.59 : 13,538.88 = 5,334.64 : x
  2. Step 2: Convert to fraction form
    9,810.59/13,538.88 = 5,334.64/x
  3. Step 3: Cross multiply
    9,810.59x = 13,538.88 × 5,334.64
  4. Step 4: Simplify right side
    9,810.59x = 72,225,093.11
  5. Step 5: Solve for x
    x = 72,225,093.11/9,810.59
  6. Step 6: Final answer
    x = 7,361.96

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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.