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Finding the Fourth Proportional to 7,564.16, 10,437 and 4,376.72

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Solution

The fourth proportional to 7,564.16, 10,437 and 4,376.72 is: 6,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.16 : 10,437 = 4,376.72 : x
  2. Step 2: Convert to fraction form
    7,564.16/10,437 = 4,376.72/x
  3. Step 3: Cross multiply
    7,564.16x = 10,437 × 4,376.72
  4. Step 4: Simplify right side
    7,564.16x = 45,679,826.64
  5. Step 5: Solve for x
    x = 45,679,826.64/7,564.16
  6. Step 6: Final answer
    x = 6,038.98

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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.