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Finding the Fourth Proportional to 16,547.84, 22,834.64 and 9,377.36

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Solution

The fourth proportional to 16,547.84, 22,834.64 and 9,377.36 is: 12,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.84 : 22,834.64 = 9,377.36 : x
  2. Step 2: Convert to fraction form
    16,547.84/22,834.64 = 9,377.36/x
  3. Step 3: Cross multiply
    16,547.84x = 22,834.64 × 9,377.36
  4. Step 4: Simplify right side
    16,547.84x = 214,128,639.75
  5. Step 5: Solve for x
    x = 214,128,639.75/16,547.84
  6. Step 6: Final answer
    x = 12,939.98

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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.