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Finding the Fourth Proportional to 12,535.17, 17,298.54 and 6,946.17

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Solution

The fourth proportional to 12,535.17, 17,298.54 and 6,946.17 is: 9,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.17 : 17,298.54 = 6,946.17 : x
  2. Step 2: Convert to fraction form
    12,535.17/17,298.54 = 6,946.17/x
  3. Step 3: Cross multiply
    12,535.17x = 17,298.54 × 6,946.17
  4. Step 4: Simplify right side
    12,535.17x = 120,158,599.59
  5. Step 5: Solve for x
    x = 120,158,599.59/12,535.17
  6. Step 6: Final answer
    x = 9,585.72

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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.