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Finding the Fourth Proportional to 4,970.04, 7,411.71 and 4,410.60

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Solution

The fourth proportional to 4,970.04, 7,411.71 and 4,410.60 is: 6,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.04 : 7,411.71 = 4,410.60 : x
  2. Step 2: Convert to fraction form
    4,970.04/7,411.71 = 4,410.60/x
  3. Step 3: Cross multiply
    4,970.04x = 7,411.71 × 4,410.60
  4. Step 4: Simplify right side
    4,970.04x = 32,690,088.13
  5. Step 5: Solve for x
    x = 32,690,088.13/4,970.04
  6. Step 6: Final answer
    x = 6,577.43

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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.