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Finding the Fourth Proportional to 10,775.52, 14,854.16 and 6,580.96

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Solution

The fourth proportional to 10,775.52, 14,854.16 and 6,580.96 is: 9,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.52 : 14,854.16 = 6,580.96 : x
  2. Step 2: Convert to fraction form
    10,775.52/14,854.16 = 6,580.96/x
  3. Step 3: Cross multiply
    10,775.52x = 14,854.16 × 6,580.96
  4. Step 4: Simplify right side
    10,775.52x = 97,754,632.79
  5. Step 5: Solve for x
    x = 97,754,632.79/10,775.52
  6. Step 6: Final answer
    x = 9,071.92

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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.