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Finding the Fourth Proportional to 6,870.94, 9,477.48 and 4,602.40

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Solution

The fourth proportional to 6,870.94, 9,477.48 and 4,602.40 is: 6,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.94 : 9,477.48 = 4,602.40 : x
  2. Step 2: Convert to fraction form
    6,870.94/9,477.48 = 4,602.40/x
  3. Step 3: Cross multiply
    6,870.94x = 9,477.48 × 4,602.40
  4. Step 4: Simplify right side
    6,870.94x = 43,619,153.95
  5. Step 5: Solve for x
    x = 43,619,153.95/6,870.94
  6. Step 6: Final answer
    x = 6,348.35

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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.