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Finding the Fourth Proportional to 14,437.50, 19,923.76 and 7,813.50

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Solution

The fourth proportional to 14,437.50, 19,923.76 and 7,813.50 is: 10,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.50 : 19,923.76 = 7,813.50 : x
  2. Step 2: Convert to fraction form
    14,437.50/19,923.76 = 7,813.50/x
  3. Step 3: Cross multiply
    14,437.50x = 19,923.76 × 7,813.50
  4. Step 4: Simplify right side
    14,437.50x = 155,674,298.76
  5. Step 5: Solve for x
    x = 155,674,298.76/14,437.50
  6. Step 6: Final answer
    x = 10,782.64

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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.