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Finding the Fourth Proportional to 9,706.58, 14,552.47 and 4,437.94

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Solution

The fourth proportional to 9,706.58, 14,552.47 and 4,437.94 is: 6,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.58 : 14,552.47 = 4,437.94 : x
  2. Step 2: Convert to fraction form
    9,706.58/14,552.47 = 4,437.94/x
  3. Step 3: Cross multiply
    9,706.58x = 14,552.47 × 4,437.94
  4. Step 4: Simplify right side
    9,706.58x = 64,582,988.71
  5. Step 5: Solve for x
    x = 64,582,988.71/9,706.58
  6. Step 6: Final answer
    x = 6,653.53

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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.