Home / 10,566.16-14,587.20-7,214

Finding the Fourth Proportional to 10,566.16, 14,587.20 and 7,214

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Solution

The fourth proportional to 10,566.16, 14,587.20 and 7,214 is: 9,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.16 : 14,587.20 = 7,214 : x
  2. Step 2: Convert to fraction form
    10,566.16/14,587.20 = 7,214/x
  3. Step 3: Cross multiply
    10,566.16x = 14,587.20 × 7,214
  4. Step 4: Simplify right side
    10,566.16x = 105,232,060.80
  5. Step 5: Solve for x
    x = 105,232,060.80/10,566.16
  6. Step 6: Final answer
    x = 9,959.35

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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.