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Finding the Fourth Proportional to 6,531.96, 9,014.12 and 3,547.77

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Solution

The fourth proportional to 6,531.96, 9,014.12 and 3,547.77 is: 4,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.96 : 9,014.12 = 3,547.77 : x
  2. Step 2: Convert to fraction form
    6,531.96/9,014.12 = 3,547.77/x
  3. Step 3: Cross multiply
    6,531.96x = 9,014.12 × 3,547.77
  4. Step 4: Simplify right side
    6,531.96x = 31,980,024.51
  5. Step 5: Solve for x
    x = 31,980,024.51/6,531.96
  6. Step 6: Final answer
    x = 4,895.93

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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.