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Finding the Fourth Proportional to 10,328.53, 15,492.80 and 9,802.63

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Solution

The fourth proportional to 10,328.53, 15,492.80 and 9,802.63 is: 14,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.53 : 15,492.80 = 9,802.63 : x
  2. Step 2: Convert to fraction form
    10,328.53/15,492.80 = 9,802.63/x
  3. Step 3: Cross multiply
    10,328.53x = 15,492.80 × 9,802.63
  4. Step 4: Simplify right side
    10,328.53x = 151,870,186.06
  5. Step 5: Solve for x
    x = 151,870,186.06/10,328.53
  6. Step 6: Final answer
    x = 14,703.95

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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.