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Finding the Fourth Proportional to 15,703.84, 21,663.04 and 9,733.60

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Solution

The fourth proportional to 15,703.84, 21,663.04 and 9,733.60 is: 13,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.84 : 21,663.04 = 9,733.60 : x
  2. Step 2: Convert to fraction form
    15,703.84/21,663.04 = 9,733.60/x
  3. Step 3: Cross multiply
    15,703.84x = 21,663.04 × 9,733.60
  4. Step 4: Simplify right side
    15,703.84x = 210,859,366.14
  5. Step 5: Solve for x
    x = 210,859,366.14/15,703.84
  6. Step 6: Final answer
    x = 13,427.25

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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.