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Finding the Fourth Proportional to 5,335, 7,970.12 and 4,460.20

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Solution

The fourth proportional to 5,335, 7,970.12 and 4,460.20 is: 6,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335 : 7,970.12 = 4,460.20 : x
  2. Step 2: Convert to fraction form
    5,335/7,970.12 = 4,460.20/x
  3. Step 3: Cross multiply
    5,335x = 7,970.12 × 4,460.20
  4. Step 4: Simplify right side
    5,335x = 35,548,329.22
  5. Step 5: Solve for x
    x = 35,548,329.22/5,335
  6. Step 6: Final answer
    x = 6,663.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.