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Finding the Fourth Proportional to 11,547.68, 15,937.68 and 8,583.20

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Solution

The fourth proportional to 11,547.68, 15,937.68 and 8,583.20 is: 11,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.68 : 15,937.68 = 8,583.20 : x
  2. Step 2: Convert to fraction form
    11,547.68/15,937.68 = 8,583.20/x
  3. Step 3: Cross multiply
    11,547.68x = 15,937.68 × 8,583.20
  4. Step 4: Simplify right side
    11,547.68x = 136,796,294.98
  5. Step 5: Solve for x
    x = 136,796,294.98/11,547.68
  6. Step 6: Final answer
    x = 11,846.21

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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.