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Finding the Fourth Proportional to 12,497.64, 17,246.16 and 7,465.20

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Solution

The fourth proportional to 12,497.64, 17,246.16 and 7,465.20 is: 10,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.64 : 17,246.16 = 7,465.20 : x
  2. Step 2: Convert to fraction form
    12,497.64/17,246.16 = 7,465.20/x
  3. Step 3: Cross multiply
    12,497.64x = 17,246.16 × 7,465.20
  4. Step 4: Simplify right side
    12,497.64x = 128,746,033.63
  5. Step 5: Solve for x
    x = 128,746,033.63/12,497.64
  6. Step 6: Final answer
    x = 10,301.63

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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.