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Finding the Fourth Proportional to 10,264.70, 15,397.04 and 2,473.50

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Solution

The fourth proportional to 10,264.70, 15,397.04 and 2,473.50 is: 3,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.70 : 15,397.04 = 2,473.50 : x
  2. Step 2: Convert to fraction form
    10,264.70/15,397.04 = 2,473.50/x
  3. Step 3: Cross multiply
    10,264.70x = 15,397.04 × 2,473.50
  4. Step 4: Simplify right side
    10,264.70x = 38,084,566.07
  5. Step 5: Solve for x
    x = 38,084,566.07/10,264.70
  6. Step 6: Final answer
    x = 3,710.25

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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.