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Finding the Fourth Proportional to 9,427.64, 13,009 and 5,598.68

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Solution

The fourth proportional to 9,427.64, 13,009 and 5,598.68 is: 7,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.64 : 13,009 = 5,598.68 : x
  2. Step 2: Convert to fraction form
    9,427.64/13,009 = 5,598.68/x
  3. Step 3: Cross multiply
    9,427.64x = 13,009 × 5,598.68
  4. Step 4: Simplify right side
    9,427.64x = 72,833,228.12
  5. Step 5: Solve for x
    x = 72,833,228.12/9,427.64
  6. Step 6: Final answer
    x = 7,725.50

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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.