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Finding the Fourth Proportional to 11,503.93, 15,875.15 and 7,524.95

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Solution

The fourth proportional to 11,503.93, 15,875.15 and 7,524.95 is: 10,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.93 : 15,875.15 = 7,524.95 : x
  2. Step 2: Convert to fraction form
    11,503.93/15,875.15 = 7,524.95/x
  3. Step 3: Cross multiply
    11,503.93x = 15,875.15 × 7,524.95
  4. Step 4: Simplify right side
    11,503.93x = 119,459,672.37
  5. Step 5: Solve for x
    x = 119,459,672.37/11,503.93
  6. Step 6: Final answer
    x = 10,384.25

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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.