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Finding the Fourth Proportional to 9,717.84, 14,543.73 and 7,246.53

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Solution

The fourth proportional to 9,717.84, 14,543.73 and 7,246.53 is: 10,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.84 : 14,543.73 = 7,246.53 : x
  2. Step 2: Convert to fraction form
    9,717.84/14,543.73 = 7,246.53/x
  3. Step 3: Cross multiply
    9,717.84x = 14,543.73 × 7,246.53
  4. Step 4: Simplify right side
    9,717.84x = 105,391,575.76
  5. Step 5: Solve for x
    x = 105,391,575.76/9,717.84
  6. Step 6: Final answer
    x = 10,845.16

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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.