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Finding the Fourth Proportional to 10,547.57, 15,823.86 and 5,616.19

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Solution

The fourth proportional to 10,547.57, 15,823.86 and 5,616.19 is: 8,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.57 : 15,823.86 = 5,616.19 : x
  2. Step 2: Convert to fraction form
    10,547.57/15,823.86 = 5,616.19/x
  3. Step 3: Cross multiply
    10,547.57x = 15,823.86 × 5,616.19
  4. Step 4: Simplify right side
    10,547.57x = 88,869,714.00
  5. Step 5: Solve for x
    x = 88,869,714.00/10,547.57
  6. Step 6: Final answer
    x = 8,425.61

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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.