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Finding the Fourth Proportional to 12,547.42, 17,315.76 and 6,882.42

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Solution

The fourth proportional to 12,547.42, 17,315.76 and 6,882.42 is: 9,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.42 : 17,315.76 = 6,882.42 : x
  2. Step 2: Convert to fraction form
    12,547.42/17,315.76 = 6,882.42/x
  3. Step 3: Cross multiply
    12,547.42x = 17,315.76 × 6,882.42
  4. Step 4: Simplify right side
    12,547.42x = 119,174,332.94
  5. Step 5: Solve for x
    x = 119,174,332.94/12,547.42
  6. Step 6: Final answer
    x = 9,497.92

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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.