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Finding the Fourth Proportional to 10,462.50, 14,427.93 and 9,598.11

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Solution

The fourth proportional to 10,462.50, 14,427.93 and 9,598.11 is: 13,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.50 : 14,427.93 = 9,598.11 : x
  2. Step 2: Convert to fraction form
    10,462.50/14,427.93 = 9,598.11/x
  3. Step 3: Cross multiply
    10,462.50x = 14,427.93 × 9,598.11
  4. Step 4: Simplify right side
    10,462.50x = 138,480,859.21
  5. Step 5: Solve for x
    x = 138,480,859.21/10,462.50
  6. Step 6: Final answer
    x = 13,235.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.