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Finding the Fourth Proportional to 9,754.37, 13,461.02 and 5,506.32

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Solution

The fourth proportional to 9,754.37, 13,461.02 and 5,506.32 is: 7,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.37 : 13,461.02 = 5,506.32 : x
  2. Step 2: Convert to fraction form
    9,754.37/13,461.02 = 5,506.32/x
  3. Step 3: Cross multiply
    9,754.37x = 13,461.02 × 5,506.32
  4. Step 4: Simplify right side
    9,754.37x = 74,120,656.11
  5. Step 5: Solve for x
    x = 74,120,656.11/9,754.37
  6. Step 6: Final answer
    x = 7,598.72

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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.