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Finding the Fourth Proportional to 8,547.68, 12,829.56 and 6,178.13

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Solution

The fourth proportional to 8,547.68, 12,829.56 and 6,178.13 is: 9,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.68 : 12,829.56 = 6,178.13 : x
  2. Step 2: Convert to fraction form
    8,547.68/12,829.56 = 6,178.13/x
  3. Step 3: Cross multiply
    8,547.68x = 12,829.56 × 6,178.13
  4. Step 4: Simplify right side
    8,547.68x = 79,262,625.38
  5. Step 5: Solve for x
    x = 79,262,625.38/8,547.68
  6. Step 6: Final answer
    x = 9,273.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.