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Finding the Fourth Proportional to 11,437.52, 15,779.12 and 6,957.68

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Solution

The fourth proportional to 11,437.52, 15,779.12 and 6,957.68 is: 9,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.52 : 15,779.12 = 6,957.68 : x
  2. Step 2: Convert to fraction form
    11,437.52/15,779.12 = 6,957.68/x
  3. Step 3: Cross multiply
    11,437.52x = 15,779.12 × 6,957.68
  4. Step 4: Simplify right side
    11,437.52x = 109,785,953.96
  5. Step 5: Solve for x
    x = 109,785,953.96/11,437.52
  6. Step 6: Final answer
    x = 9,598.76

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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.