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Finding the Fourth Proportional to 9,547.61, 14,304.47 and 8,146.71

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Solution

The fourth proportional to 9,547.61, 14,304.47 and 8,146.71 is: 12,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.61 : 14,304.47 = 8,146.71 : x
  2. Step 2: Convert to fraction form
    9,547.61/14,304.47 = 8,146.71/x
  3. Step 3: Cross multiply
    9,547.61x = 14,304.47 × 8,146.71
  4. Step 4: Simplify right side
    9,547.61x = 116,534,328.06
  5. Step 5: Solve for x
    x = 116,534,328.06/9,547.61
  6. Step 6: Final answer
    x = 12,205.61

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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.