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Finding the Fourth Proportional to 6,854.51, 9,459.15 and 3,870.47

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Solution

The fourth proportional to 6,854.51, 9,459.15 and 3,870.47 is: 5,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.51 : 9,459.15 = 3,870.47 : x
  2. Step 2: Convert to fraction form
    6,854.51/9,459.15 = 3,870.47/x
  3. Step 3: Cross multiply
    6,854.51x = 9,459.15 × 3,870.47
  4. Step 4: Simplify right side
    6,854.51x = 36,611,312.23
  5. Step 5: Solve for x
    x = 36,611,312.23/6,854.51
  6. Step 6: Final answer
    x = 5,341.20

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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.