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Finding the Fourth Proportional to 10,012.51, 15,024.11 and 6,501.68

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Solution

The fourth proportional to 10,012.51, 15,024.11 and 6,501.68 is: 9,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.51 : 15,024.11 = 6,501.68 : x
  2. Step 2: Convert to fraction form
    10,012.51/15,024.11 = 6,501.68/x
  3. Step 3: Cross multiply
    10,012.51x = 15,024.11 × 6,501.68
  4. Step 4: Simplify right side
    10,012.51x = 97,681,955.50
  5. Step 5: Solve for x
    x = 97,681,955.50/10,012.51
  6. Step 6: Final answer
    x = 9,755.99

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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.