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Finding the Fourth Proportional to 8,547.66, 11,797.16 and 5,192.69

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Solution

The fourth proportional to 8,547.66, 11,797.16 and 5,192.69 is: 7,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.66 : 11,797.16 = 5,192.69 : x
  2. Step 2: Convert to fraction form
    8,547.66/11,797.16 = 5,192.69/x
  3. Step 3: Cross multiply
    8,547.66x = 11,797.16 × 5,192.69
  4. Step 4: Simplify right side
    8,547.66x = 61,258,909.81
  5. Step 5: Solve for x
    x = 61,258,909.81/8,547.66
  6. Step 6: Final answer
    x = 7,166.75

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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.