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Finding the Fourth Proportional to 9,598.68, 13,246.20 and 5,407.20

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Solution

The fourth proportional to 9,598.68, 13,246.20 and 5,407.20 is: 7,461.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.68 : 13,246.20 = 5,407.20 : x
  2. Step 2: Convert to fraction form
    9,598.68/13,246.20 = 5,407.20/x
  3. Step 3: Cross multiply
    9,598.68x = 13,246.20 × 5,407.20
  4. Step 4: Simplify right side
    9,598.68x = 71,624,852.64
  5. Step 5: Solve for x
    x = 71,624,852.64/9,598.68
  6. Step 6: Final answer
    x = 7,461.95

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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.