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Finding the Fourth Proportional to 7,097.49, 9,784.99 and 4,970.16

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Solution

The fourth proportional to 7,097.49, 9,784.99 and 4,970.16 is: 6,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.49 : 9,784.99 = 4,970.16 : x
  2. Step 2: Convert to fraction form
    7,097.49/9,784.99 = 4,970.16/x
  3. Step 3: Cross multiply
    7,097.49x = 9,784.99 × 4,970.16
  4. Step 4: Simplify right side
    7,097.49x = 48,632,965.90
  5. Step 5: Solve for x
    x = 48,632,965.90/7,097.49
  6. Step 6: Final answer
    x = 6,852.14

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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.