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Finding the Fourth Proportional to 10,328.03, 15,492.05 and 9,802.14

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Solution

The fourth proportional to 10,328.03, 15,492.05 and 9,802.14 is: 14,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.03 : 15,492.05 = 9,802.14 : x
  2. Step 2: Convert to fraction form
    10,328.03/15,492.05 = 9,802.14/x
  3. Step 3: Cross multiply
    10,328.03x = 15,492.05 × 9,802.14
  4. Step 4: Simplify right side
    10,328.03x = 151,855,242.99
  5. Step 5: Solve for x
    x = 151,855,242.99/10,328.03
  6. Step 6: Final answer
    x = 14,703.21

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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.