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Finding the Fourth Proportional to 9,763.84, 14,613.12 and 5,802.24

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Solution

The fourth proportional to 9,763.84, 14,613.12 and 5,802.24 is: 8,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.84 : 14,613.12 = 5,802.24 : x
  2. Step 2: Convert to fraction form
    9,763.84/14,613.12 = 5,802.24/x
  3. Step 3: Cross multiply
    9,763.84x = 14,613.12 × 5,802.24
  4. Step 4: Simplify right side
    9,763.84x = 84,788,829.39
  5. Step 5: Solve for x
    x = 84,788,829.39/9,763.84
  6. Step 6: Final answer
    x = 8,683.96

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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.