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Finding the Fourth Proportional to 21,497.49, 32,242.64 and 5,703.50

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Solution

The fourth proportional to 21,497.49, 32,242.64 and 5,703.50 is: 8,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.49 : 32,242.64 = 5,703.50 : x
  2. Step 2: Convert to fraction form
    21,497.49/32,242.64 = 5,703.50/x
  3. Step 3: Cross multiply
    21,497.49x = 32,242.64 × 5,703.50
  4. Step 4: Simplify right side
    21,497.49x = 183,895,897.24
  5. Step 5: Solve for x
    x = 183,895,897.24/21,497.49
  6. Step 6: Final answer
    x = 8,554.30

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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.